{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "92e2dac5",
   "metadata": {},
   "source": [
    "Chapter 11: Language Family Mapping"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23c9c7a1",
   "metadata": {},
   "source": [
    "Script 11-1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "157b41a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#load needed packages\n",
    "import numpy as np\n",
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2cff1af4",
   "metadata": {},
   "outputs": [],
   "source": [
    "#create the Greenberg Nilo-Saharan language family network\n",
    "G = nx.Graph()\n",
    "G.add_nodes_from([1, 11])\n",
    "G.add_edges_from([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(7,8),\n",
    "                 (7,9),(7,10),(7,11)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3ac7c99d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hQXx8PGfPnjV0KUIIIUSOkEApxGtWp04djI2N5ba3EEKIAkMCpRCvmYWFBTVr1pRAKYQQosCQQCmEAXh4eHD48GFDlyGEEELkCAmUQhiAp6cnly9fJjIy0tClCCGEENkmgVIIA/Dw8ADg6NGjBq5E5AexiVrO333EyZBIzt99RGyi1tAlCSFEBjIPpRAG4O7ujoODA0eOHKF169aGLkfkQfrVli4/ICQi42pLCuDqaEmzSkXp5eGKu4ustiSEMCxZKUcIA2nTpg0ajYbNmzcbuhSRh8h68EKI/EhueQthIB4eHhw5cgT5nU6kWREYQotZezl4IxzgmWEy/esHb4TTYtZeVgSG5HqNQgiRFQmUQhiIh4cH4eHhXL9+3dCliDxgbsBVxq45S6JW99wg+aQUnUqiVsfYNWeZG3A1lyoUQoink0AphIG8+eabADIfpWBFYAgzt1/JkbZmbr/CSumpFEK8ZhIohTAQJycn3N3dZT7KAmLy5MkoipLhj7GxMU5OTjRu3Ji5c+ei0+kyve9WRByTNpzP9vmj9vsTtd+f6MD1fLnhPLci4rLdphBCvCgJlEIYkKenp/RQFmApKSlERERw4MABhg0bxtixYzMdM27tWbQveYs7K48OLOfRgeVEB65Hq1MZt1bWihdCvD4SKIUwIA8PD06dOkVCQoKhSxE5qG/fvqiqSnx8POPGjdPvX7x4cYbjroY+Zv+1sJd+ZjKNmqJF1aVk2p+iU9l/LYxrDx6/UrtCCPGyZB5KIQzIw8OD5ORkTp48SYMGDQxdjshh5ubm+Pj4MG3aNADi4jLehp7402IerFxM4r2r6JLiMLK0w7xMTewa9cDEsaT+uLBNs4g9twuAIl3GE3/jOHFXDqOLe4RVteb61wBSoh8QPL09APX+LEFU6B3u3bvHqFGjOHXqFPfv3yc6OhoLCwsqVqxIz549GT58OMbG8t+BEOLVyU8QIQyoRo0amJubc+TIEQmUBVBiYiLLly/Xf92tWzf99tixY1k5Y0aG41NiIog9H0Dc1cO4vD8Ns+LumdoM3/ozuvjoFzp/QnJq72VoaCjLli3L8Nrjx485fvw4x48f5/LlyyxcuPCFr0sIIZ4kE5sLYWCNGjWidOnSrFixwtCliGyYPHkyU6ZMeerrderUYc+ePdjY2HDs2DHq168PgHm5uji1HoKRtQMJty7wYNUkSNFiWsyd4v1mARl7KDVmVji1/xTzMjVJeRyGka0zGhNzfa+kkW1RSg3+E0hdUefc5NbEPorg33//pV69ejg7O2NsbMzly5dp27Ytt2/fxsjIiLCwMOzt7XPvAxJCFGjSQymEgXl6erJmzRpDlyFy2YkTJ/D29mbnzp2sW7dOvz/hxnHuzB+Q6fik+1dJiXuEkaVdhv02b3bC0j11LXiNU6lnnlMFgsJjqVTUkZs3bzJ9+nQuX77M48ePM0yon5KSwuXLl/VrzAshxMuSQTm5IDZRy/m7jzgZEsn5u4+ITdQauiSRh3l4eBAUFERoaKihSxE5JG1QTnJyMkePHqVIkSIA7Nmzh02bNr3w91oXn3lQjVmxCi9VS5JWx8iRIxk1ahSBgYFER0dnuTpTfHz8S7UrhBDpSQ9lDrka+hj/IyEEXH5ASEQc6X9cK4CroyXNKhWll4cr7i42hipT5EFpvUJHjhzB29vbwNWInGRsbEz9+vVp0qQJf//9NwCXLl3CxcVFf4z9W32xa9At03tVVUVRlEz7FWOzl6rB1FiDn5+f/us1a9bQrl07TE1NqVu3LidOnHip9oQQIivSQ5lNtyLi6P3HEVrO3sfSI8EEPxEmIfW2U3BEHEuPBNNy9j56/3FEJh0Weq6urhQrVkzmoyyAUlJSCAwMZN++ffp9xYsXp1OnTvqvo4/8Tdy1o+iSEtAlxZN45xIROxbycM03L3UujYUtALr4aLSPw4DUX2bdnKwyjOC2sbFBq9Xy66+/cvLkyVe/OCGESEd6KLNhRWAIkzac109K/Ly55NJeP3gjnBaz9jLFuyo96rvmep0ib1MUBQ8PD1kxpwBZsmQJS5YsybS/XLlydOnSBWtra7744gu+/fZbdAkxPFw9NdOxZqWrvdQ5zUpWJv7aUdTkBO780g8Al7qtsfq2HV27dmXBggUAtGzZEgBLS0tKlizJ7du3X/LqhBAiM+mhfEVzA64yds1ZErW6l56UOEWnkqjVMXbNWeYGXM2lCkV+4uHhQWBgICkpmSepFvmbhYUFlStXZuTIkRw6dAhra2sApk2bxvsTf8GifD00lnagMUJjaYepS3ls6nfEoWnflzqPY8tBWFR4U99TCVDMzhyAH374gREjRlCiRAnMzc1p0KABO3bsoHz58jl3oUKIQk2mDXoFKwJDGLsm55Y1m9GlOt2lp7JQCwgIoHnz5pw7d46qVasauhzxmlwNfUzL2fuef+Ar2jmyCRWKyjPbQojcl61b3uHh4SxYsIDNmzdz6dIlYmNjKVq0KO7u7nTu3JkBAwZgZWWVU7Vmafbs2URFRQGp88DlpqZNm7J3714ASg76A2N7l+e84z9JoTd4dGgVibfPkxL3CMXEDI25DSaOJRi8z52GGxdR2tEyR+vt16+f/rZbQEAATZs2zdH2s5I2iKBMmTIEBQXl+vkKinr16qEoCocPH5ZAWYjEh95E8+AKKc7lUTRGOdaukUahYTknCZNCiNfmlQNlQEAA3bt35+HDhxn23759m9u3bxMQEICXlxe1atXKbo3PNHv2bIKDg4HcD5SvKvHOJUKXj0PVJun3qYlxpCTGkfIolMTbFxm39ixLB8occIWVjY0N1apV48iRIwwcONDQ5YhcpqoqP/30E59//jkVazcgscXnJKXk3M0iY43CtM7Vc6w9IYR4nld6hvLKlSt4e3vrw2SbNm04ceIEiYmJhIeHs379epo3b56jhea0J9fUfRHxSa/2fNujgyv1YdKx5SBKj1hJ6U9XU3zgXBxbD8G8TA32Xwvj2oPMc87lN6qqoqqq9E6+Ag8PDxnpXQiEhobSrl07RowYwSeffELgnm1M7fhyA3CeZ6p31Ry/4yGEEM/ySoFyypQpxMTEAFCtWjU2btxI7dq1MTU1xdHREW9vb3bt2kW1aqk/JGNiYpgyZQo1atTAysoKCwsLqlevzvTp00lKSsrQtqIoKIqCm5sbgYGBtGzZEisrK0qWLMmgQYP05128eDGKouh7J9O/N+226549e/Rf9+vXj0WLFlGtWjVMTU357rvvAPjmm2/w8vKiRIkSWFhYYG5uTrly5Rg4cGCmUBT6OOFVPi6SI+/qty0qeqIxt0Jjao5pETdsarehaNcvMdIo+B0OAVJvrafVnb6GyZMn6/cvXrxYv1+n0/HNN9/g5uaGubk5tWrV0s95l5WXueb0tRw6dIi+ffvi5OSEvb09bdq04fr16xmOT//9Sy8+Pp4ZM2ZQv359bGxsMDMzo0yZMnTv3p2EhFf7XAsaDw8Pzp07p/87LgqerVu3UqNGDY4fP86WLVuYPXs25ubm9KjvyqhWFXPkHKNbVZJnsoUQr91L3/LW6XRs2rRJ//Xnn3+OkVHWz/4YGxsTERGBl5cXFy5cyPDauXPn+OKLL9i6dSs7duzA1NQ0w+sPHjzAy8uLxMREILVHceHChaiqysKFC1+2bDZv3pzlNB6rVq3i9OnTGfbdvHmTmzdvsnXrVs6dO4ejoyMAUXHJL31eAGPbImgj7gBw749hWJSvh1mJSpiWrIypSzkURUOKTiXgygMm8/LPz40YMYKff/5Z//Xp06fp2rUrJUqUyPL4l7nm9Nq1a0dkZKT+623bttGhQwfOnj371L8DAJGRkTRt2pQzZ85k2B8SEkJISAgLFy7E3Nz8ha61IPP09ESn03Hs2LHX8ryreH0SEhIYO3Ysc+bM4Z133mHx4sUZJjcHGNrMHWdrM/1UZC8ze4SRRsFYozDVu6qESSGEQbx0D2V4eDjR0dH6r583gGDSpEn6MDl37lyio6OJiopi+PDhAOzbt4/ffvst0/vi4+Pp3LkzDx8+5NChQ5iZpa4O4evri6qq9OvXD1VVKVOmjP49abdbsxq4HhYWxogRIwgNDSU8PJy+fVOn5Jg8eTJnzpwhIiKC5ORkQkND6d+/PwD37t3D398fgJhELQnJr3bL2/bNzqCkftS6hMfEng8gYscC7i8ewZ15/Xl8+h8AQsLjXnqZxuvXrzN37lwATE1N2bBhA48fP2bx4sXcvXs3y/e86DU/qWTJkly6dInbt29TpUoVAC5evEhgYOAza5w0aZI+TFasWJF9+/YRGxvLtWvX+PrrrzExMXmpay6oqlSpgrW1tcxHWcBcuHABDw8P5s+fz+zZs9m8eXOmMJmmR31Xdo58i4blnIDUoPgsaa83LOfEzpFvSZgUQhjMS/dQPhnWsloaLL21a9fqt4cOHcrQoUMzHbNt2zaGDBmSYZ9Go2HevHk4ODjg7OxMtWrVOH78OAkJCYSGhlKsWLGXqrtChQr88MMPaDSpwS6tB87JyYnx48dz7NgxwsLCSE7O2AuZFoaDw2Nf6nzpWZSri0uvGTw6uIKE4DOQ8t85Uh6HE7H1Z4ysHLCs8CZBL3menTt36r8nHTp0oEOHDkDqWsILFy7k0KFDmd7zotf8pG+++YZKlSoB0LZtWy5evAhAUFAQnp6eT60x/d+BX3/9FS8vLwDKly/P+PHjX/RSCzwjIyPq168vz1EWEGl3U0aOHEnZsmU5evQoNWvWfO77SjtasnSgx3/LuV55QEh4Fsu5OlnSrGJRfDxdZTS3EMLgXjpQOjs7Y2trq++lPH/+PLVr137q8aGhoc9tMywsLNO+YsWK4eDgoP86/fRDr/LMXe3atfVhMs2RI0do1qzZMyeTjo+PByBJq3vpc6ZnXqoK5u9NQZeUQNK9K8QHnybm5FZ08amfY9zFfVhWeDPTedIHeK02c+9l+s+udOnSGV4rU6ZMpkD5Mtf8pLReSXi578f9+/f129Wry8jTZ/H09GTRokVPXcdZ5A9hYWF88MEHrF+/nkGDBvHDDz9gaflyg2TcXWyY7F2VyVQlNlFLUHgsSVodpsYa3JyssDKThc6EEHnHS9/y1mg0+l4wgO+///6p4USr1epv7SiKwt27dzPclk77c/DgwUzvffI26NP+c33R/3Sz+mG+YsUKfe29evUiLCxMP53Hk0yNX31RIV3Cf72OGlNzzMvUwKFJbxxafKjfnxL/WH+e9M8Tph+Nfu3atUxtOzs767dv3bqV4bX0A5bSvMw1Pyn99+Rlwk763uRz58698PsKIw8PD+7fv5/peynyj127dlGjRg3279/P2rVrmT9//kuHySdZmRlTtYQdtV0dqFrCTsKkECLPeaWUNGnSJP3yYWfOnKFTp06cOnWKpKQkIiIi2LBhg37Vj86dOwOpPW19+/bl4sWLJCcnc//+fVavXs0777zD0qVLX/kCnJyc9NunTp16qfcaG//3Q9nc3BwLCwtOnz7NnDlzMh3r5vTqE7Q/WPM1D9dNJ+7yQbSPw1FTtGijHxJ/+b/eQ1NnV5T/P0/6EdJpA6AOHDjAunXrMrXdokULfbjbuHEjmzZtIiYmhiVLlmR5u/tlrjmndOnSRb/98ccfc+DAAeLj4wkKCmL69OnExr764wQFjYdH6lykcts7/0lKSmLMmDG0bNmSKlWq6H82CiFEYfBKgdLd3Z0NGzboe8c2bdpE7dq1MTMzw8nJiY4dOxIQEACkTjGUNnBnx44dvPHGG5iamlK8eHG6devGP//8g0736reTGzZsqN+uXbs2iqK88AjZLl266G+D//HHH1hZWVGrVq0sRyxbmRljbvKKK1noUoi79C8P107jzi99Cfm+E3fm9SfuSmrPrMbCFpt63rg6WWJlZkzv3r31bx07dix2dnY0btw4QxhMU758ef1zqUlJSXTo0AEbGxv69etHkSJFsnXNOWXy5MnUqFEDgEuXLtG4cWMsLS0pW7YsX3zxRaZnOAuzYsWKUaZMGQmU+cyVK1do2LAhP/74IzNmzGDHjh2ULFnS0GUJIcRr88r3cZs1a8bFixf56quv8PDwwN7eHhMTE0qWLEmzZs2YM2cO7u7uODo6cuTIEb766itq166NlZWVfg7Cli1b8sMPP9CmTZtXvoDJkyfTq1cvXFxcXvqZswYNGrBq1Spq1KiBubk5ZcqUYdq0aYwdOzbL4+0tX200sr2XDzb1O2FaohJGNs4oxqZgZIKxfXGsa7ameN9ZmNoVoWnF1ADYqFEj/P39eeONNzAzM6NIkSJMnz6dkSNHZtn+7Nmz+frrryldujSmpqZUq1YNf39/2rZtm+1rzgkODg4cPnyYb7/9lrp162JtbY2pqSmurq5069ZNpgx6goeHh4z0zidUVeXPP/+kdu3aREdHc+jQIUaPHp3peW0hhCjoFDWrOXZElq6GPqbl7H251r7t/jmM+aQv7733nkylU4jNmjWLcePGER0dLX8P8rDIyEg+/vhjVq1axYABA5gzZ47+USAhhChs5Nfol+DuYoNXBefnzg33sow0Cm84KpSw1uDj40P58uX58ccfefw4/y/FKF6eh4cHCQkJmSaCF3nH/v37qVmzJtu3b2flypX88ccfEiaFEIWa9FC+pFsRcbSYtZdErY6o/f48OrD8qcca2Ral1OA/n9ummbGGnSPforSjJWfOnGHmzJksX74cKysrBg0axPDhw5+66o0oeOLj47Gzs2P27NkMHjzY0OWIdJKTk5k6dSrTpk2jUaNG+Pn54eoqk4kLIYT0UL6k0o6WTPF++eURn2Wqd1VKO6ZOK1KjRg18fX25ceMGH374IfPmzcPNzY3+/ftz/vz5HD2vyJssLCyoWbOmDMzJY27cuEGTJk349ttvmTJlCgEBARImhRDi/0kP5SuaG3CVmduvZLud0a0qMaRZhae+/ujRI3777Tdmz57NnTt3aNOmDaNHj6Zp06Yy8XUBNnToUHbs2MHly5cNXYoA/P39+eSTT3B2dsbf358GDRoYuiQhhMhTpIfyFQ1t5s70LtUxM9a89DOVRhoFM2MNM7pUf2aYBLCzs2PUqFHcuHGDJUuWcPv2bZo3b079+vVZsWJFlqvniPzP09OTK1euEBkZaehSCrXo6Gh69+6Nj48P3t7enDp1SsKkEEJkQQJlNvSo78rOkW/RsFzq5OrPC5Zprzcs58TOkW/Rvf6L3y4zNTWlT58+nD59mm3btuHg4MD777+Pu7s7P/30EzExMa9+ISLPSZvg/OjRowaupPA6fPgwtWrVYv369SxduhQ/Pz9sbW0NXZYQQuRJcss7h1wNfYz/kRACrjwgJDyO9B+qArg6WdKsYlF8PF2pUNQmR8558uRJZs6cycqVK7G1teWTTz5h2LBhGZY6FPmTqqo4OzszfPhwJk2aZOhyCpWUlBS+/fZbJk+eTP369fH396dcuXKGLksIIfI0CZS5IDZRS1B4LElaHabGGtycrHJ17d3g4GDmzJnDb7/9RlJSEr179+azzz6jSpUquXZOkfvSJqbfsmWLgSspPEJCQvDx8eHAgQOMHz+eiRMnylygQgjxAiRQFiCRkZEsXLiQn376iXv37tGhQwdGjRqFl5eXDODJh6ZMmcJPP/1EWFiYfP9eg1WrVvHRRx9hY2ODn58fTZo0MXRJQgiRb8gzlAWIg4MDY8eO5ebNm/z5559cv36dt956C09PT1avXk1KSoqhSxQvwdPTk4iICK5du2boUgq0mJgYBg4cyHvvvUeLFi04ffq0hEkhhHhJEigLIDMzM/r378/Zs2fZvHkzlpaWdOvWjYoVK/LLL78QFxdn6BLFC3jzzTcBZD7KXHT8+HHq1KnDihUr+OOPP/jrr79wcHAwdFlCCJHvSKAswDQaDW3btiUgIIDAwEDq16/P8OHDcXV15csvv+TBgweGLlE8g4ODAxUrVuTw4cOGLqXA0el0fPfddzRo0ABbW1tOnjzJgAED5NECIYR4RRIoC4l69eqxYsUKrl27Rs+ePfnhhx8oU6YMgwYN4sqV7E/QLnKHp6en9FDmsLt379KqVSvGjBnDyJEjOXjwIBUrVjR0WUIIka9JoCxkypYty08//cStW7eYMGEC69ato3LlynTu3JmDBw8aujzxBA8PD06dOkV8fLyhSykQ1q9fT40aNbhw4QI7duxgxowZmJqaGrosIYTI9yRQFlKOjo6MHz+eoKAgfv31Vy5evEijRo1o2LAha9eulQE8eYSnpydarZaTJ08aupR8LS4ujsGDB9OpUycaNWrEmTNnaNGihaHLEkKIAkMCZSFnbm7OBx98wIULF9iwYQPGxsZ06dKFKlWqsGDBAukZM7Dq1atjbm4ut72z4cyZM9SvX59FixYxf/581q1bh7Ozs6HLEkKIAkUCpQBSB/B06NCBffv2cfjwYWrWrMmQIUMoU6YMU6dOJSwszNAlFkomJibUrVtXBua8AlVVmTNnDvXr18fY2Jjjx48zaNAgGXgjhBC5QAKlyMTDw4NVq1Zx5coVunXrxvTp03F1dWXIkCFcv37d0OUVOjIw5+WFhobSrl07RowYwSeffMKRI0d44403DF2WEEIUWBIoxVOVL1+eX375hZCQEMaOHcuqVatwd3ena9euEnBeIw8PD4KDg7l//76hS8kXtm7dSo0aNTh+/Dhbtmxh9uzZmJubG7osIYQo0CRQiudydnbmyy+/JDg4mPnz53PmzBk8PT1p0qQJGzZsQKfTGbrEAs3DwwOQCc6fJyEhgREjRtC2bVvq1KnDmTNnaNOmjaHLEkKIQkECpXhhFhYWfPzxx1y8eFE/Erxjx45UrVqV33//nYSEBEOXWCCVLl2a4sWLS6B8hgsXLuDh4cH8+fOZPXs2mzdvxsXFxdBlCSFEoSGBUrw0IyMjOnXqxIEDBzhw4ACVK1fmo48+ws3NjW+++YaIiAhDl1igKIqCh4eHBMosqKrKggULqFu3LsnJyRw9epT//e9/aDTyo00IIV4n+akrsiVt3spLly7RqVMnvvrqK0qXLs3w4cO5efOmocsrMDw9PTl69KjMD5pOWFgYnTt35pNPPqF///4cO3aMmjVrGrosIYQolCRQihxRsWJFFixYQEhICKNGjWLZsmVUqFCBHj16cOzYMUOXl+95eHgQExPDxYsXDV1KnrBr1y5q1KjB/v37WbduHfPmzcPS0tLQZQkhRKElgVLkqKJFizJlyhRCQkL4+eefCQwMpH79+jRr1owtW7bIAJ5XVK9ePTQaTaGfjzIpKYkxY8bQsmVLqlSpwpkzZ+jYsaOhyxJCiEJPAqXIFZaWlgwePJgrV66watUq4uLiaNeuHdWrV2fRokUkJiYausR8xdrammrVqhXq5yivXLlCw4YN+fHHH5kxYwY7duygZMmShi5LCCEEEihFLjMyMqJr164cPnyYffv2Ub58eQYMGEDZsmWZPn06UVFRhi4x3yisA3NUVeXPP/+kdu3aREdHc+jQIUaPHi0Db4QQIg+Rn8jitVAUBS8vLzZs2MCFCxdo164dkyZNonTp0nz66acEBwcbusQ8z8PDg3PnzvH48WNDl/LaREZG0r17dwYOHEiPHj04ceIE9erVM3RZQgghniCBUrx2VapU4bfffiM4OJj//e9/LF68mPLly9OrVy9Onjxp6PLyLE9PT1RVLTSDnPbv30/NmjXZsWMHf/31F3/88QfW1taGLksIIUQWJFAKgylWrBhff/01ISEh/Pjjjxw8eJA6derQokUL/vnnH1RVNXSJeUrlypWxsbEp8Le9k5OTmThxIk2bNsXNzY3Tp0/TrVs3Q5clhBDiGSRQCoOztrZm+PDhXL16lRUrVhAVFcU777xDzZo18fX1JSkpydAl5glGRka8+eabBXqk940bN2jSpAnffvstU6ZMISAgAFdXV0OXJYQQ4jkkUIo8w9jYmO7duxMYGEhAQAClS5emb9++lCtXju+//55Hjx4ZukSDSxuYUxB7b/39/alVqxahoaH8+++/TJgwASMjI0OXJYQQ4gVIoBR5jqIoNG3alM2bN3Pu3DlatWrF+PHjKV26NKNHj+b27duGLtFgPDw8uH//PiEhIYYuJcdER0fTu3dvfHx86NixI6dOncLT09PQZQkhhHgJEihFnla1alX+/PNPgoKCGDx4ML/99htly5alT58+nDlzxtDlvXYeHh4ABeY5ysOHD1OrVi3Wr1/P0qVLWbp0Kba2toYuSwghxEuSQCnyhRIlSjB9+nRu3brFd999x549e6hZsybvvPMOO3fuLJC3gLPi4uKCm5tbvg+UKSkpfP311zRu3BgXFxdOnTqFj4+PocsSQgjxiiRQinzFxsaGkSNHcv36dfz9/QkNDaVly5bUqVMHf39/kpOTDV1irvP09MzXA3NCQkJo1qwZkyZNYty4cezbt49y5coZuiwhhBDZIIFS5EsmJib07NmTEydOsGPHDlxcXPDx8aFChQrMmjWrQE/+7eHhwYkTJ/JleF61ahU1a9YkKCiIgIAApk6diomJiaHLEkIIkU0SKEW+pigKLVq0YNu2bZw+fZq33nqLzz//nNKlSzN27Fju3r1r6BJznIeHBwkJCfnqGdKYmBgGDhzIe++9R8uWLTl9+jRNmjQxdFlCCCFyiARKUWDUqFEDX19fbt68yYcffsi8efNwc3NjwIABnD9/3tDl5ZjatWtjYmKSb257Hz9+nDp16rBy5Ur+/PNPVq5ciYODg6HLEkIIkYMkUIoCp1SpUnz//ffcunWLadOmsX37dqpVq0a7du0ICAjI9wN4zM3NqVWrVp4fmKPT6fjuu+9o0KABtra2nDhxgv79+6MoiqFLE0IIkcMkUIoCy87OjlGjRnHjxg18fX25desWzZs3p379+qxcuRKtVmvoEl+Zh4dHnu6hvHv3Lq1atWLMmDGMHDmSgwcPUrFiRUOXJYQQIpdIoBQFnqmpKb179+b06dNs27YNBwcHevTogbu7Oz/99BMxMTGGLvGleXp6cvXqVSIiIgxdSibr16+nRo0aXLhwgR07djBjxgxMTU0NXZYQQohcJIFSFBqKotC6dWt27NjBiRMnaNiwIZ9++imurq5MmDCB+/fvG7rEF5Y2wfnRo0cNXMl/4uLiGDx4MJ06daJx48acOXOGFi1aGLosIYQQr4EESlEo1a5dG39/f27cuEG/fv2YM2cOZcqU4cMPP+TSpUuGLu+5ypcvj5OTU5657X3mzBnq16/PokWLmD9/PmvXrsXZ2dnQZQkhhHhNJFCKQs3V1ZUff/yRW7duMXXqVDZv3kyVKlXw9vZm//79eXYAj6IoeHh4GHxgjqqqzJkzh/r162NsbMzx48cZNGiQDLwRQohCRgKlEIC9vT1jxozh5s2b/Pnnn1y/fp0mTZrQoEEDVq9eTUpKiqFLzCQtUBoq9IaGhtKuXTtGjBjB4MGDOXLkCG+88YZBahFCCGFYEiiFSMfMzIz+/ftz9uxZNm/ejIWFBd26daNSpUrMmzePuLg4Q5eo5+npSWRkJFevXn3t5966dSs1atTg+PHjbNmyhVmzZmFubv7a6xBCCJE3SKAUIgsajYa2bdsSEBBAYGAg9erVY9iwYbi6ujJp0iQePHhg6BJ58803AV7rbe+EhARGjBhB27ZtqVu3LmfOnKFNmzav7fxCCCHyJgmUQjxHvXr1WLFiBdeuXaNXr17MnDmTMmXKMGjQIIP0Dqaxt7encuXKr21gzoULF/Dw8GD+/PnMmTOHzZs34+Li8lrOLYQQIm+TQCnECypbtixz5szh1q1bTJw4kXXr1lGpUiW6dOnCwYMHDVLT6xiYo6oqCxYsoG7dumi1Wo4ePcrw4cNl4I0QQgg9CZRCvCRHR0fGjRtHUFAQv/76KxcuXKBRo0Y0atSItWvXvtYBPB4eHpw+fZr4+PhcaT8sLIzOnTvzySef0L9/fwIDA6lZs2aunEsIIUT+JYFSiFdkbm7OBx98wIULF9iwYQNGRkZ06dKFKlWqsHDhwlwLeel5enqi1Wo5ceJEjre9a9cuatSowb///su6deuYN28elpaWOX4eIYQQ+Z8ESiGySaPR0KFDB/bt28fhw4epWbMmgwcPpkyZMkydOpWwsLBcO3f16tWxsLDI0dveSUlJjBkzhpYtW/LGG29w5swZOnbsmGPtCyGEKHgUNa/O3CxEPnb9+nVmzZrFn3/+CcCAAQMYOXIk5cuXz/FzeXl5UaJECf709ScoPJYkrQ5TYw1uTlZYmRm/VFtXrlyhZ8+enD59mmnTpvHZZ5+h0cjvnUIIIZ5NAqUQuSgsLIx58+Yxd+5cwsPD6dKlC6NGjdKvxZ1dV0Mf88mPy7gaa4bGpgjp/zErgKujJc0qFaWXhyvuLjZPbUdVVRYtWsSwYcMoWbIky5cvp27dujlSoxBCiIJPAqUQr0F8fDy+vr788MMPXL16FS8vL0aPHk27du1eqQfwVkQc49aeZf+1MDSo6Hj6iGsjjUKKTsWrgjPTOlentGPG5yAjIyP5+OOPWbVqFQMHDmT27NlYW1u/dE1CCCEKLwmUQrxGKSkpbNy4ke+//56DBw9SuXJlPvvsM3x8fF54pZkVgSFM2nAerU4lRffi/3yNNArGGoUp3lXpUd8VgH379uHj48Pjx4/59ddf6dat2ytdlxBCiMJNAqUQBnLw4EFmzpzJunXrKFq0KMOHD2fQoEE4Ojo+9T1zA64yc/uVbJ975NsVCNvrx7Rp02jUqBF+fn64urpmu10hhBCFkwRKIQzsypUrzJo1i8WLF2NkZMTAgQMZMWIEZcuWzXDcisAQxq45m2Pnjdj2M5+/25gvvvgCIyOjHGtXCCFE4SPDN4V4jvDwcL755hsaNmyIo6MjZmZmlC5dmubNm/Pzzz8TGxvL4sWLURQFRVGYPHnyS7VfsWJF5s+fT3BwMJ999hn+/v5UqFCBHj16cPz4cSD1mclJG85n+X5tVCjB09sTPL099/3HvthJVRWXtsOYOHEixsbGKIpC3bp1Sf/7ZVBQkP6aihUrluX+pk2b6vdPnjxZv3/x4sUv9RkIIYTI3yRQCvEMAQEBVKlShQkTJnDo0CEiIyNJSkri9u3bBAQEMHz48Bxbz7to0aJMmTKFkJAQfv75ZwIDA6lXrx7NmjXjw98C0L7E85LPpSiZBvKcOHGC1atX59w5hBBCFBoSKIV4iitXruDt7c3Dhw8BaNOmDSdOnCAxMZHw8HDWr19P8+bNc/y8lpaWDB48mCtXrrBq1SqiseRSFFkOwNElJ2Js70KZsZsoM3YTxXpNf+HzZNXexIkTn7t0pJubG6qqoqoqe/bseeHzCSGEKLgkUArxFFOmTCEmJgaAatWqsXHjRmrXro2pqSmOjo54e3uza9cuqlWrlum9v/32G2+88QYWFhZUrVoVf3//DK/v27ePjh07Ur58eezs7DA2NsbZ2ZmWLVuybt06AIyMjOjatSulajTQ39KO2u/Po8OrubPgQ4JneBN3cf+r3fLOgpGREZcvX2bJkiXPPO5pt7yfZd++fXTu3JlixYphampK0aJFeffdd/W39IUQQuRvEiiFyIJOp2PTpk36rz///POnDlwxNs64Gs3ChQv56KOPuHjxIgkJCVy4cAEfHx8OHjyoP+bEiRNs2LCBGzduEB0dTUpKCuHh4ezcuZPOnTuzfPly/bGX7j/Wbz8+sZmoPYvRRt0DVZdTlwtA3759gdQgnZiYmGPtzp8/n6ZNm7Ju3TpCQ0NJTk7m4cOHrFmzhgYNGmT4nIUQQuRPEiiFyEJ4eDjR0dH6r6tWrfrC73348CHLly/n0aNHfP755/r9vr6++u2mTZuya9cu7t+/T2JiIrGxsWzcuFH/+syZMwGISdQSHpOk36+Lj8a+2QBKjVhBqaFLMS9b61UuL0sTJ07E0tKSkJAQFixYkCNt3rlzh5EjR6KqKnXq1OHixYskJiZy7NgxihQpQnJyMh999BFarTZHzieEEMIwJFAKkYUnZ9NSlKevRPMkb29vevToga2tLb1799bvDwoK0m+XKlWKjRs30rRpU+zt7bGysqJDhw761y9cuABAcHhshrbNy9TAzqMLRubWGFk7YGzj/DKX9UzFihVj2LBhAHzzzTf62/3ZsXXrVn1v54kTJ6hSpQpmZmbUq1dP/2zqvXv3OH36dLbPJYQQwnAkUAqRBWdnZ2xtbfVfnz+f9ZQ9WalSpYp+28rKSr+dkJAApN5Of/vtt5k9ezaXLl0iPj4+Uxtpxz56nDFQmhar8MJ1vIoxY8ZgZ2fHw4cPmT17drbbCw0NfaHjwsLCsn0uIYQQhiOBUogsaDSaDD2G33///VNHPz95u9bExES/nVXP5tmzZzlz5gyQOlXQunXr2LBhAz/88EOG45ydnWnapHGGfYqx2ctdyEtycHBg9OjRADkyl6SLi4t+++OPP9aPDk//R6fT0bp162yfSwghhOFIoBTiKSZNmoS1tTUAZ86coVOnTpw6dYqkpCQiIiLYsGEDzZs359y5c09tI/3glrt37zJ27FjGjv1vJPaDBw/o1KkT3t7ejBo1KsN7R44cyYLvv8rhq3q+ESNGULRo0edOH/Qi2rRpg5lZaghetGgRvr6+PHr0iPj4eE6dOsWECRNo2LBhts8jhBDCsCRQCvEU7u7ubNiwAWfn1OcUN23aRO3atTEzM8PJyYmOHTsSEBBASEhIhlvif//9N40aNaJEiRJUrlxZv//q1ausXLmS+Ph47O3tszxfeuPHj2dAn144WZvmzgU+hZWVFePHj8+RtkqWLMns2bNRFIWkpCT69u2Lvb09lpaW1K5dm2+++YZ79+7lyLmEEEIYjgRKIZ7By8uLbdu20b9/f8qVK4e5uTkajQZTU1N9z1vHjh31o7IBoqOjqVChAh9++CHfffedfn+TJk24efMme/bs4eTJk3Tq1AkHBwdsbW1599132b17d5Y1VClmm+X+3DRo0CDKlCmTY23t37+frl27Urx4cYyNjXF0dKR69eoMGjSIX3/9NUfOI4QQwnAU9cnhrEIUIikpKdy5c4egoCCCgoK4efNmhu3bt29nuPVbokQJ3NzcKFu2LG5ubhm2S5cujalpzvcmXg19TMvZ+3K83TQ7RzahQlGbXGtfCCFEwWf8/EOEyL90Oh3379/XB8UnA2NISEiGQTUuLi76kOjp6ZkhMLq6umJubv7ar8HdxQavCs4cvBGe5XKJr8pIo9CwnJOESSGEENkmPZQiX1NVldDQ0Kf2MAYHB5OU9N/E4M7Ozk/tYSxTpgyWlpYGvJqnuxURR4tZe0nUvtjqOLfnDSAl+sFTX7dr9D4uzXqzc+RblHbMm9cshBAi/5AeSpGnqapKWFjYUwNjUFCQfs5GSJ32Ji0kdujQIVN4TBu1nd+UdrRkindVxq45m2NtTvWuKmFSCCFEjpBAKQxKVVUiIyOfGRhjY/+b3NvGxoayZctStmxZWrdunSkw2tnZGfBqcleP+q6ExSQyc/uV5x5bavCfz3w9KXA1b5g/yqnShBBCFHKF/pZ3bKKWoPBYkrQ6TI01uDlZYWUmOTsnRUdHP/UZxqCgoAxrZltZWWUIiU/emra3t3+pZRALohWBIUzacB6tTn2pZyqNNArGGoXP33bjl097cevWLXbt2kWNGjVysVohhBCFQaEMlFdDH+N/JISAyw8IiYgj/QegAK6OljSrVJReHq64u8iAheeJiYl5Zg9jZGSk/lhzc/NnBkYnJ6dCHxhfxK2IOMatPcv+a2EYaZRnBsu0170qODOtc3VKO1oSERFBixYtCAkJYffu3RIqhRBCZEuhCpTZ/U+4sIqLiyM4OPipgTH9OsympqaUKVPmqYGxaNGiEhhzkP6XoysPCAnP4pcjJ0uaVSyKj6drptHcERERtGzZkuDgYAmVQgghsqXQBMrs3iac4l2VHvVdc7FCw0lMTHxmYAwNDdUfa2xsjKur61MDY7FixdBoZL58Q3iVxzfSh8pdu3ZRs2bN11StEEKIgqRQBMq5AVdfaCDD84xqVZGhzdyff2Aek5ycTEhIyFMD4927d/XHGhkZUbp06UxT6qRtlyhRAiMjIwNejchpkZGRtGjRQkKlEEKIV1bgA+WKwJAcnWplRpfqdM9jPZVarZbbt28/NTDeuXMHnS51/kJFUShVqtRTA2PJkiUxMTEx8BWJ1y0yMpKWLVty8+ZNdu3aRa1atQxdkhBCiHzEIIFy8uTJTJkyBYC+ffuyePFi/Wt//vknH374ITqdDjMzM/7++2/atWv3Sud52cmgX4SZsea1TwadkpLC3bt3nxoYb926leXygFkFxtxaHlDkf5GRkbRq1YobN26wc+dOateubeiShBBC5BN5an6cefPmMXToUFRVxcLCgnXr1tGqVatXbm/c2rNoc3CpOgCtTmXc2rMsHeiRY22mLQ/4tMAYEhJCcnKy/vi05QHd3Nz0ywOmBUZDLQ8o8j8HBwd27NhBy5Ytefvtt9m1a5eESiGEEC8kzwTKWbNm8emnnwKpcxFu3LiRZs2avXJ7V0Mfs/9a2PMPfEkpOpX918K49uDxC6+BrKoqDx48eGpgDA4OJjExUX982vKAbm5u1KlTJ0NgzMvLA4r8z97enh07dtCqVSvefvttdu7cSZ06dQxdlhBCiDwuTwTKb7/9lnHjxgGpK6Fs2bKFxo0bAxAUFETZsmUBeOutt9izZ4/+fW5ubgQHBwOpoQ1gz549+iBqXf1tzNxqEX34b7SRdzGyccKmdjts6nfUT12T9DCYR/8uI+lhELrYKHRJ8SimFpgWKYN19RZY1WipPzYh+Ayhy1Pr7Hq0I8N6dmDGjBncunWLatWqMXjwYMzMzPj99985cuQISUlJmJmZodVqMwRGS0tLNBoNWq0WrVaLqqo4OTlRv359vvzySxo0aJBbH7UQz2Vvb8/27dtp3bo1LVq0kFAphBDiuQweKDdu3MiSJUsAsLOzY9u2bXh6euZI23FXjxBzdpf+a23kPSJ3/46RtQNWb7z1//vuEnf5QIb3qYmxJN6+QOLtC6TERWHX4L1MbZ87HMAHu9frvz527BgDBgzIdJxWq8XFxYV58+ZRvnx53Nzc6Nu3L+vXr89wXHh4ONu2bePff//lxIkTuLvnv9HkouBIC5Xpeyrr1q1r6LKEEELkUQafMDAiIkK/vXnz5hwLkwC6hBgcmn9A6ZF/4dDyY/3+9CHTpIgbRbtNouSQJbiOWovrqDUU6/09iokZANFH15HVuKWUuGhq1K7LRx99RLVq1fT7FUVh9erVREREUK9ePQBCQ0MpUaIENWvWxM7OjsGDB3Ps2DHCwsJITk4mPDycCRMmpNYWE8OCBQty7DMQ4lXZ2dmxfft2KlWqRIsWLTh27JihSxJCCJFHGTxQpjdlyhTi4+NzrD1Tl/LYvtkJjZkl1tVb6PdrHz3QbxtZOZB45zIP/prErTnvEzLzXe4vHY2anHqLWhcfjS4uKnPbJSqxbNMuFi5cyODBg/X7GzRowLvvvouDgwMtWvx3zqCgIP12sWLFmDlzJrVr18bKygonJye+/vpr/esXLlzIicsXItvs7Oz4559/qFy5Mi1btpRQKYQQIksGD5R169bF3t4egB07dtCuXTtiY2OzPPbJnkKtVvvMto2dSum3FZP/Rj6r2iT9dtj6GTw6uILkh0GoyQlA5t5INTkp0z4Th+Ik/f90RBYWFvr9ac97ApiZmem3ExISAAgODqZhw4asWLGCW7dukZSUue2cDNVCZFf6UNmiRQsCAwMNXZIQQog8xuCBslq1auzcuRNHR0cAAgICaNOmDTExMQAZpsCJi4vTb8fExHD//v1ntq1o/ntENKv1o3UJMcRf////HI1McPH5DtfP11Nm7CY05s8Zwa0YYWqc+eMzNn72Y6nr1q3TB+bmzZtz584dVFVlw4YNzz6fEAZka2vLP//8wxtvvEHLli05evSooUsSQgiRhxg8UEJqL+Xu3btxdnYGYP/+/bRq1Yro6GhcXFz0ofL8+fPcvHmTlJQUxo8fn2Ey71eiMQJSg6aiaNCYWqAmJxK13x9dwuPnvt3NyeqlT5k+cJqammJlZcX169cz3PIWIi+ytbVl27ZtVK1aVUKlEEKIDPJEoASoWbMmAQEBFC1aFIBDhw7RokULHj16RO/evYHUW8Hu7u7Y2toyb968bK/4ojG1wLxc6nQoqjaRe38O49as93h8cisas2eHRWszY6zMXn6QfNu2bfXzSG7btg17e3sqVKhAVFTUS7clxOuWFiqrVatGy5YtOXLkiKFLEkIIkQfkmUAJqbe/9+7dS/HixQEIDAzk7bffZsKECXz88ccUL14cU1NT6tevz+7du/XHPU0Wd7kzcW7/KVbV3kZjaYdiYoa5W22K9fwW5TmBspjdq61GU7ZsWbZs2YKnpyeWlpYUL16cUaNG8dNPP71Se0K8bjY2Nmzbto3q1avTqlUrDh8+bOiShBBCGJhB1vJ+Ha6GPqbl7H251v7OkU1eeKUcIQqix48f07ZtW06fPs327dtzdMovIYQQ+Uue6qHMSe4uNnhVcMZI8wLdlC/BSKPgVcFZwqQo9NJWtapZsyatWrXi0KFDhi5JCCGEgRTYQAkwrXN1jHM4UBprFKZ1rp6jbQqRX9nY2LB161Zq1apF69atOXjwoKFLEkIIYQAFOlCWdrRkinfVHG1zqndVSjta5mibQuRn1tbWbNmyhdq1a0uoFEKIQqpAB0qAHvVdGdWqYo60NbpVJbrXd82RtoQoSKytrdm8eTN16tShdevWHDhwwNAlCSGEeI0K7KCcJ60IDGHShvNodSopuhe/ZCONgrFGYap3VQmTQjxHbGws7dq14/jx42zdupXGjRsbuiQhhBCvQaEJlAC3IuIYt/Ys+6+FYaRRnhks0173quDMtM7V5Ta3EC8oNjaW9u3bExgYyLZt2yRUCiFEIVCoAmWaq6GP8T8SQsCVB4SEx2VYvVsBXJ0saVaxKD6erjKaW4hXEBsbS4cOHTh69Chbt27Fy8vL0CUJIYTIRYUyUKYXm6glKDyWJK0OU2MNbk5Wr7QCjhAio7i4ONq3b8/Ro0fZsmULTZo0MXRJQgghckmhD5RCiNwTFxdHhw4dOHLkiIRKIYQowAr8KG8hhOFYWlqyceNGPD09adOmDXv37jV0SUIIIXKBBEohRK6ytLRkw4YNNGzYkLZt27Jnzx5DlySEECKHSaAUQuS69KGyXbt2EiqFEKKAkUAphHgtLCws2LBhA40aNaJt27YEBAQYuiQhhBA5RAKlEOK1sbCwYP369Xh5edGuXTt2795t6JKEEELkAAmUQojXysLCgnXr1tGkSRPat2/Prl27DF2SEEKIbJJAKYR47SRUCiFEwSKBUghhEObm5qxbt46mTZvSvn17du7caeiShBBCvCIJlEIIgzE3N2ft2rU0a9aMDh06sGPHDkOXJIQQ4hVIoBRCGJS5uTlr1qyhefPmeHt7S6gUQoh8SAKlEMLgngyV27dvN3RJQgghXoIESiFEnmBmZiahUggh8ikJlEKIPCMtVLZo0QJvb2/++ecfQ5ckhBDiBUigFELkKWZmZvz999+0bNmSjh07sm3bNkOXJIQQ4jkkUAoh8hwzMzNWr15Nq1at6NSpk4RKIYTI4yRQCiHyJDMzM1atWkWrVq3o2LEjW7duNXRJQgghnkICpRAiz0rrqXznnXfo1KkTW7ZsMXRJQgghsiCBUgiRp5mamrJq1SratGlD586d2bx5s6FLEkII8QQJlEKIPM/U1JS//vqLtm3b0qVLFzZt2mTokoQQQqQjgVIIkS+YmpqycuVK2rVrJ6FSCCHyGAmUQoh8Iy1Utm/fni5durBx40ZDlySEEAIJlEKIfMbExISVK1fSoUMH3n33XTZs2GDokoQQotCTQCmEyHdMTExYsWIF3t7edO3alfXr1xu6JCGEKNQkUAoh8iUTExOWL19Ox44d6datm4RKIYQwIAmUQoh8y8TEhGXLltGpUye6du3KunXrDF2SEEIUShIohRD5momJCf7+/nTu3Jlu3bqxdu1aQ5ckhBCFjgRKIUS+l9ZT2aVLF9577z3WrFlj6JKEEKJQkUAphCgQjI2N8ff3591336V79+78/fffhi5JCCEKDQmUQogCw9jYGD8/P7p27SqhUgghXiMJlEKIAsXY2JilS5fy3nvv0b17d1avXm3okoQQosCTQCmEKHCMjY3x9fWle/fu9OjRg1WrVhm6JCGEKNCMDV2AEELkBmNjY5YsWQLA+++/j6qqvPfeewauSgghCiYJlEKIAiutp1JRFHr27ImqqnTv3t3QZQkhRIEjgVIIUaAZGRmxZMkSFEWhV69eABIqhRAih0mgFEIUeEZGRixevDhDT2WPHj0MXZYQQhQYEiiFEIWCkZERixYt0vdUqqrK+++/b+iyhBCiQJBAKYQoNIyMjPjzzz9RFAUfHx9UVaVnz56GLksIIfI9CZRCiELFyMiIP/74A0VR6N27N6qq6p+tFEII8WokUAohCh0jIyN+//13FEWhT58+qKqKj4+PocsSQoh8SwKlEKJQSguVAH379gWQUCmEEK9IAqUQotDSaDSZeip79+5t6LKEECLfkUAphCjUNBoNv/32G4qi0LdvX1RVpU+fPoYuSwgh8hUJlEKIQk+j0fDrr7+iKAr9+vVDVVX9bXAhhBDPJ4FSCCFIDZULFy5EURT69++Pqqr069fP0GUJIUS+IIFSCCH+n0ajYcGCBSiKwoABAwAkVAohxAuQQCmEEOloNBrmz5+vD5WqqtK/f39DlyWEEHmaBEohhHiCRqNh3rx5AAwcOBBVVfU9lkIIITKTQCmEEFlIC5WKovDBBx8ASKgUQoinkEAphBBPodFo+OWXX1AURd9TOXDgQEOXJYQQeY4ESiGEeIa0UAnwwQcfoKqqvsdSCCFEKgmUQgjxHIqi6HsqP/zwQ1RV5cMPPzR0WUIIkWdIoBRCiBegKApz585FURQ++ugjVFXlo48+MnRZQgiRJ0igFEKIF6QoCj///DOKovDxxx+jqioff/yxocsSolCITdQSFB5LklaHqbEGNycrrMwkxuQV8p0QQoiXoCgKP/30E4qiMGjQIFRVZdCgQYYuS4gC6WroY/yPhBBw+QEhEXGo6V5TAFdHS5pVKkovD1fcXWwMVaYAFFVV1ecfJoQQIj1VVRkxYgQ//fQT8+bN45NPPjF0SUIUGLci4hi39iz7r4VhpFFI0T09qqS97lXBmWmdq1Pa0fI1VirSSKAUQohXpKoqI0eOZM6cOfzyyy8MHjzY0CUJke+tCAxh0obzaHXqM4Pkk4w0CsYahSneVelR3zUXKxRZkVveQgjxihRFYdasWSiKwpAhQ1BVlSFDhhi6LCHyrbkBV5m5/corvTfl/wPo2DVnCYtJZGgz9xyuTjyLBEohhMgGRVH48ccfURSFoUOHAkioFOIVrAgMeeUw+aSZ269QxNqM7tJT+dpIoBRCiGxSFIUffvhBHypVVdWHSyHE892KiGPShvM52uaXG87TsLyzPFP5mkigFEKIHKAoCjNnzkRRFIYNG4aqqgwbNszQZQnxym7cuMHXX3/Nrl27uHfvHmZmZjg4OFC+fHlq1KjB9OnTsbCwyJFzjVt7Fu1LPC/5NDFndhK+ZTYA9o17Ms7NkaUDPbLdrng+CZRCCJFDFEXh+++/R1EUhg8fjqqqDB8+3NBlCfHSbty4Qf369YmIiNDvS05OJiYmhlu3brFnzx4mTpyYI4Hyauhj9l8Ly3Y7T1JVlf3Xwrj24DEVisqUQrlNY+gChBCiIFEUhe+++47Ro0fzv//9jzlz5hi6JCFe2qxZs/Rhcty4cTx8+JD4+HguXbqEr68v7du3x8jIKEfO5X8kBCONkiNtPclIo+B3OCRX2hYZSaAUQogcpigKM2bM4PPPP2fEiBHMnj3b0CUJ8VKuXPlvcEzbtm1xdnbG3NycSpUq0bt3bzZu3IiDg4P+mPv37zNixAjc3d0xNzfH2tqaOnXq8P3335OUlJShbUVRUBQFNzc3AgMDmTOqLze/78LtuX0I3zYXXVJ8huO10WE8XDedkB+7ETLrPR6um4E2+iHB09sTPL09t+cNeOp1RJ3YyvcftsPCwoKqVavi7++f4fV9+/bRsWNHypcvj52dHcbGxjg7O9OyZUvWrVsHgE6nw93dHUVRsLS0zNBrC1CjRg0URcHMzIyHDx++1OdcoKhCCCFyhU6nU8eMGaMC6o8//mjocoR4YR988IEKqIBqZWWldu3aVf3hhx/UgwcPqklJSRmOvXbtmuri4qI//sk/jRs3VuPj4/XHp+23sLBQzczMMh1vXesdtczYTWqZsZvU0iNWqEZ2mds2si2Sbruo/nintiP+22/lkGU9Bw4c0Ncya9asp9YNqMuWLVNVVVXnzZun3zdjxgz9+8+cOaPf36NHj1z+ruRt0kMphBC5RFEUvv32W8aOHcunn37Kjz/+aOiShHghw4cPx8zMDIDY2FhWr17NZ599RsOGDSlevDjffvst6v+vizJ8+HBCQ0MB6NOnD2FhYVy5coWaNWsC8O+///Lzzz9nOkd8fDzN32lPqeH+FOs9E4xMUs93bre+7ejA9aQ8Sm3b1KU8JT7+lVLDlmJapMxzryEl7hHO3qMpPfIvBgz+n36/r6+vfrtp06bs2rWL+/fvk5iYSGxsLBs3btS/PnPmTAD69etHkSJFAJg/fz46nQ4APz8//bGFfQlWCZRCCJGLFEVh2rRpfPHFF3z22Wf88MMPhi5JiOeqXr06J06coGvXrlhbW2d4LTw8nHHjxvHLL78QHx/P9u3bgdS/63PmzMHJyQl3d3cmT56sf8+GDRsynUOj0TDmq+8xsrTDrGRlfUhUtUnoYqMAiL95Qn+8XeOemDiUwMjKAYfmA597DRbuHli98RYaM0ve6dRNvz8oKEi/XapUKTZu3EjTpk2xt7fHysqKDh066F+/cOFCalsWFvr5ZYOCgti0aROqqrJ8+XIAqlSpwltvvfXcmgoyGeUthBC5TFEUvvnmGxRFYdSoUaiqyqhRowxdlhDP9MYbb7Bq1SoSExM5ceIEe/bsYcGCBYSEpA5yWbFiBZ07d0ar1QJgZ2eHvb29/v1ubm767bQezPSKFSuGs5Oj/mvFxFy/rWpTn7vUxUfr9xnbFvlv287lufWbOJXWb9va/BeKExISUtvW6Xj77bc5c+bMU9tIOxZSFyyYMWMG8fHxzJ07F1tbW27dugXAxx9//Nx6CjoJlEII8RooisLXX3+NoiiMHj0aVVUZPXq0ocsSIkuPHj3Czs4OADMzMxo0aECDBg1o0qQJjRs3BlJ7Kh0dHTE2Nkar1fLo0aMM70vfE+jikjkAmpiY4OZkhULqQ4hZMbK0Qxt5DwDt4zBMXcqlbkdlDqhPUjSpo9AVoLSDVabXz549qw+TLi4u7Ny5kypVqhAXF4etrW2m452dnenXrx/z589n586dJCcnA6m9l3379n1uPQWd3PIWQojXRFEUvvrqKyZMmMDnn3/Od999Z+iShMjSsGHDaNOmDX5+fgQHB5OcnMyDBw9YtmyZ/piqVatiYWFBy5YtgdR5H0eOHEl4eDjXr19n6tSp+mO9vb2zPI+VmTEu1k/v2zJ3q63ffnRwJdqoUFJiI4kM+OOFr8XVyRJLs8znMDb+b5+RkRHW1tY8evSITz/99Kltffrpp2g0GlRVZc+ePQD06NEjQ89sYSU9lEII8RopisLUqVNRFIUxY8agqipjxowxdFlCZKDT6di2bRvbtm3L8nULCwu++OILAObMmcOxY8d4+PAhixYtYtGiRRmObdCgQZarRkVHR1OnTh2CnOpjU6ddluexrd+RmHO7SXkUStLdy9xZkPrspJGN038HKU+fw9JIo9CsYtEsX6tcuTLVqlXj3Llz3L17l7JlywJQsWLFp7ZXoUIFOnfuzN9//63fV9gH46SRHkohhHjNFEVhypQpfPnll4wdO5bp06cbuiQhMhg5ciTjxo3Dy8sLV1dXLC0tMTExoXTp0vTs2ZPDhw9Tt25dANzd3Tl16hRDhw6lfPnymJqaYmlpSa1atfj2228JCAjA3NychIQEVq1apT9HZGQkZcuW5dsBbfW3p5+kMbemWK/pWFZqhGJqgWJqgWXFhhTpMl5/jJFF5tvTaVJ0Kj6erlm+ZmRkxMaNG+nUqRMODg7Y2try7rvvsnv37md+Numff65duzZvvvnmM48vLKSHUgghDCAtVCqKwhdffIGqqvoeHyEMrW7duvrA+CJKlCiR5dRAqqpy6NAhfH19WblyJVFRUXh6etKnTx/ee+89nJxSexr/jTvCwd4zSMliPW9t5D0cWw/GyDL12UxdYhyRu37Xv25ero5+27pGC6xrtABSeycblnP6/2UXbfRTEaXn5ubG2rVrs6z7ae7du6ffzqrntbCSQCmEEAaUNrXKuHHjUFWVcePGGbYgIXLAzZs3Wbp0Kb6+vly/fh1XV1eGDBlCnz59srylPK1zdVrM2ptloIz6dxmJt86hMbdBMTElJTYKdCkAmBQti53Hu1nWYKxRmNa5eo5d0xdffMFff/3FzZs3gdRb5r17986x9vM7CZRCCGFgkydPRlEUxo8fj6qqjB8//vlvEiKPefToEatWrcLX15f9+/djbW1Nt27d+P3332nSpAkazdOfsivtaMkU76qMXXM202uWFRugahPRRt4nJSYSxdQCE6dSWFZqiG3dDijGplm2OdW7KqUdLXPs+u7du8eNGzewsbGhcePG/PLLLxkG9hR2ivqsfl0hhBCvzdSpU5k0aZJ+JLgQeZ1Wq2XHjh34+vqybt06kpKSaNGiBX379qVTp05YWr5coJsbcJWZ2688/8DnGN2qEkOaVch2O+LFSbQWQog84ssvv0RRFCZOnIiqqkycONHQJQmRpdOnT+Pr64u/vz+hoaFUrVqVqVOn0rNnT0qWLPnK7Q5t5o6ztRmTNpxHq1OzvAX+NEYaBWONwlTvqnSvn/VAHJF7JFAKIUQeMnHixAyh8ssvvzR0SUIAcP/+fZYtW4avry+nT5+mSJEi9OzZkz59+lC7dm2UZ0zf8zJ61HelUXlnxq09y/5rYRhplGcGy7TXG5ZzYlrn6jl6m1u8OLnlLYQQedA333zDhAkTmDx5MpMmTTJ0OaKQio+PZ/369fj6+vLPP/9gbGxMx44d6dOnD61bt8bExCRXz3819DH+R0IIuPKAkPC4DCvqKKROWt6sYlF8PF3/fzS3MBQJlEIIkUdNmzaN8ePHM2nSJP1ocCFym06n48CBA/j6+vLXX38RHR1Nw4YN9VP9ODg4GKSu2EQtQeGxJGl1mBprcHOywiqLFXCEYch3Qggh8qhx48ahKIp+KiEJlSI3Xbt2jaVLl7J06VJu3ryJm5sbI0aMoHfv3lSoYPgBLlZmxlQtYWfoMsRTSKAUQog87IsvvtBPfg4SKkXOioqK4q+//mLJkiUcPHgQGxsb3nvvPfr27UujRo2eOdWPEOlJoBRCiDxu7NixAPoVddLmrRTiVSQnJ/PPP//g6+vLhg0bSE5OpnXr1ixfvpyOHTtiYWFh6BJFPiSBUggh8oGxY8eiKApjx45FVVX9so1CvAhVVTl16hS+vr4sW7aMBw8eUL16db755ht69uxJ8eLFDV2iyOckUAohRD4xZswYFEVhzJgxqKrK1KlTJVSKZ7p79y7+/v74+vpy7tw5XFxc8PHxoU+fPtSsWdPQ5YkCRAKlEELkI59//jmKovD555+jqipfffWVhEqRQVxcHOvWrcPX15cdO3ZgYmJCp06dmDFjBq1atZLlAkWukL9VQgiRz4wePRpFURg9ejSqqvL1119LqCzkdDod+/btw9fXl1WrVhETE4OXlxcLFy6ka9eu2NvbG7pEUcBJoBRCiHxo1KhRKIrCqFGjUFWVb775RkJlIXTlyhV8fX1ZunQpISEhlC9fntGjR+Pj40O5cuUMXZ4oRCRQCiFEPvXZZ5+hKAqfffYZqqoybdo0CZWFQEREBCtXrsTX15fDhw9jZ2dH9+7d6dOnDw0bNpS/A8IgJFAKIUQ+9umnn6IoCp9++imqqvLtt99KoCiAkpKS2Lp1K76+vmzatImUlBTatGnDX3/9RYcOHTA3Nzd0iaKQk0AphBD53MiRIwH0oXL69OkSKgsAVVU5fvw4vr6+LF++nLCwMGrXrs2MGTN4//33cXFxMXSJQuhJoBRCiAJg5MiRKIrCyJEjUVWVGTNmSKjMp27fvo2fnx++vr5cvHiRYsWK0a9fP/r06UP16tUNXZ4QWZJAKYQQBcSIESNQFIURI0agqirfffedhMp8IiYmhrVr1+Lr68uuXbswNzenc+fOzJo1i7ffflum+hF5nvwNFUKIAuR///sfiqLwv//9D1VV+f777yVU5lE6nY49e/awZMkS/v77b2JjY3nrrbf4448/ePfdd7G1tTV0iUK8MAmUQghRwAwfPhxFURg+fDiqqjJz5kwJlXnIpUuX8PX1xc/Pj1u3buHu7s7YsWPx8fHBzc3N0OUJ8UokUAohRAE0bNgwFEVh2LBhqKrKDz/8IKHSgMLCwlixYgW+vr4EBgbi4OBAjx496NOnDx4eHvK9EfmeBEohhCighg4diqIoDB06FFVV+fHHHyW4vEaJiYls2bIFX19fNm/ejKqqtG3bltWrV9O+fXvMzMwMXaIQOUYCpRBCFGBDhgxBURSGDBmCqqrMmjVLQmUuUlWVo0eP4uvry4oVK4iIiKBevXr88MMP9OjRgyJFihi6RCFyhQRKIYQo4AYPHoyiKAwePBhAQmUuCAkJ0U/1c/nyZUqWLMmHH35I7969qVq1qqHLEyLXSaAUQohC4JNPPkFRFD755BNUVWX27NkSKrPp8ePH/P333/j6+hIQEIClpSXvvvsuc+fOpVmzZhgZGRm6RCFeGwmUQghRSAwaNAhFURg0aBCqqjJnzhwJlS8pJSWF3bt3s2TJEtasWUNCQgLNmjVj8eLFdOnSBRsbG0OXKIRBSKAUQohC5OOPP0ZRFD7++GNUVeWnn36SUPkCzp8/r5/q5+7du1SqVImJEyfSq1cvXF1dDV2eEAYngVIIIQqZjz76CEAfKn/++WcJlVl4+PAhy5cvx9fXl+PHj+Po6Mj7779Pnz59qF+/vnxmQqQjgVIIIQqhjz76CEVR+Oijj1BVlblz50pAAhISEti0aRO+vr5s3boVRVFo3749EyZMoG3btpiamhq6RCHyJAmUQghRSH344YcoisKHH36oD5UajcbQZb12qqpy+PBh/VQ/UVFRvPnmm8yePZsePXrg5ORk6BKFyPMkUAohRCH2wQcfZAiVv/zyS6EJlUFBQSxduhRfX1+uXbtG6dKlGTx4ML1796Zy5cqGLk+IfEUCpRBCFHIDBw5EURQ++OADVFVl3rx5BTZURkdHs3r1apYsWcK+ffuwsrKia9eu/Prrr7z11lsF9rqFyG0SKIUQQjBgwAAURWHgwIGoqsr8+fMLTLjSarXs3LkTX19f1q5dS2JiIi1atGDp0qV07twZKysrQ5coRL4ngVIIIQQA/fv3R1EUBgwYgKqqLFiwIF+HyrNnz7JkyRL8/f25f/8+VapUYfLkyfTq1YtSpUoZujwhChQJlEIIIfT69euHoij0798fVVVZuHBhvgqVoaGhLFu2DF9fX06dOoWzszM9e/akT58+1KlTR0ayC5FLJFAKIYTIoG/fvkBqjyXwQqEyNlFLUHgsSVodpsYa3JyssDJ7Pf/FxMfHs2HDBnx9ffnnn38wMjKiQ4cOTJkyhTZt2mBiYvJa6hCiMJNAKYQQIpO+ffuiKAr9+vVDVVV+/fXXTKHyauhj/I+EEHD5ASERcajpXlMAV0dLmlUqSi8PV9xdcnZJQlVVOXDgAL6+vvz11188evSIBg0aMHfuXN577z0cHR1z9HxCiGdTVFVVn3+YEEKIwmjp0qX07duX/v3789tvv6HRaLgVEce4tWfZfy0MI41Ciu7p/42kve5VwZlpnatT2tEyW/XcuHFDP9XPjRs3KFOmDL1796ZPnz64u7tnq20hxKuTQCmEEOKZ/Pz86Nu3L3379qXlx5OYvOkCWp36zCD5JCONgrFGYYp3VXrUf7m1r6Oioli1ahW+vr78+++/2NjY0K1bN/r06YOXl1e+esZTiIJKAqUQQojn8vf3Z8i8jdg36Z3ttka1qsjQZs/uTdRqtfzzzz/4+vqyfv16kpOTadmyJX369KFTp05YWmavp1MIkbPkGUohhBDPZVTRC/sm9jnS1sztVyhibUb3J3oqVVXl9OnT+Pr64u/vz4MHD6hWrRpff/01PXv2pESJEjlyfiFEzpP7BEIIkYsmT56Moij6Pxs2bMjweto0PYqisGDBgkz79uzZoz82bZ+bm1uu1vzgwQP+97//4e7ujrm5OZZWVvR+uw73l44m/J9f0MZEvFK72qhQgqe3J3h6e/p3bc+tiDgA7t27x8yZM6lZsya1a9fG39+fnj17cuLECc6cOcOoUaMkTAqRx0kPpRBCvEbjx4+nffv2efa5v6ioKDw8PAgKCnrilTi0j8NJvHMR6xqtMLbO3ihqFZX+83dg8u8Ctm/fjomJCR07duTbb7+lVatWMtWPEPmMBEohhHiNzp07x7Jly/Dx8XnqMYsXL2bx4sWvr6h0/vjjD32Y7NevHx+MHEfPpefRPg4jKfQGcZf/RTHOfthTVbgWY4yL1pQFCxbQrVs37O3ts91uVuLi4uSZSyFyWd78FVkIIQogIyMjACZNmkRycvJTj3vaLe+nefz4MRMnTqRatWpYWlpiYWFB1apVmTBhAtHR0S9V45UrV/TbLVq0YEdQEsamppg4FMeqciOKdByDaRE3/THamAgebvieu78P5tbs9wn+riMhP3bj3uIRRB9di6pLeeq5km6f4/7dO/zvf/+jVq1ajBs3LsPncu/ePXr16kXVqlVxcnLCxMQEW1tb6tWrx48//ohWq9UfGxQUpP/MmjZtyqZNm6hXrx7m5uYMHjwYgF9//ZW3336bUqVKYWVlhampKaVKlaJHjx6cOXMmQ23pvwcbNmxg+PDhFC9eHBsbG7y8vDh+/PhLfa5CFHTSQymEEK9J9+7d+fvvv7lx4wa///47n3zySbbbDAsLo3Hjxly+fDnD/gsXLnDhwgVWr17NgQMHcHJyeqH2XF3/GygzYMAArMvXQVe0EmYlKmFaohIaE7MMx+tio4i7sDfDPjUpnqT710i6f43kiDs4vTM003mSw0K4t2w8/H/gDA4O5ttvv8XGxoYvvvgC+G8ZxfQeP37M8ePHOX78OJcvX2bhwoWZ2j5z5gwdO3ZEp9Nl2L9lyxZ2796dYd+dO3dYuXIlmzdv5sSJE1nOZdmvXz8iIyP1X//777+88847XL9+HVtb20zHC1EYSQ+lEEK8JqVLl9aHyK+//pr4+Phstzlp0iR9mGzVqhW3b9/mzp07tGjRAoDLly/z5ZdfvnB7AwcO1IfPpKQkIi4eJmrvEkKXj+P2zz5E7PodVftfL6KRtSNFOo+j5Cd/Uvqz1biOXkvxAXMxsnEGIOb0dnQJMZnOo4uPxraeN6VHrGDFqr/1+5csWaLfLlGiBH///TfBwcHExsaSmJjImTNnKFWqFJB6ez4qKipT25GRkXTr1o1bt24RHR3NuHHjABg8eDDHjh0jLCyM5ORkwsPDmTBhQmqdMTH6QVFPsrS05OjRo4SFhdG0aVMgNchv2bLlRT9WIQo8CZRCCPEajRs3Dmtra+7evcvPP/+c7fbWr1+v3/7+++8pWbIkJUqU4Pvvv9fvf3Jk+bMUK1aMU6dO0a9fP+zsHTK8pibF8zhwHVH7fPX7NBY2aKPu83Ddt9ye24eQ77tw78+hpDwO+/836UiOuJPpPBpLO+yb9kNjbk21hm/rQ2z6wUCOjo7cvHmTrl27Urx4cczNzalRowa3b98GICUlJVPPLICtrS1//PEHpUqVwsbGhooVK+qvbebMmdSuXRsrKyucnJz4+uuv9e+7cOFClp/J559/Tv369XFycuLdd9/V7888cEmIwksCpRBCvEZFihRh5MiRAMyYMYNHjx5lq73Q0FD9dpkyZfTb6acWSn/MiyhVqhSLFi1i54krFOs3G4e3P8TE+b9b4bEX9+m3I3f+RmTAnyTdu4qaGAdkXitDTU7MtM/EoQSKJvWZ0iStDisrKwASE/87duTIkYwaNYrAwECio6PJah2OrHp5K1WqpG8vTXBwMA0bNmTFihXcunWLpKSkF2oLoEqVKvrt9O0mJCRkebwQhZEESiGEeM1GjRqFk5MTERERbNy4MVttubi46LeDg4P12+l7z9If8zzpA66FmQlmxSpgW78jRbtP1e/XxT/Wb8eeD9BvF+k8DtfRaykzdhOmLuWffaL/D5MAP3w/g5iYzLfF/fz89Ntr1qwhMTERVVWpU6fOM5vOakT3unXriI2NBaB58+bcuXMHVVVfqPc2/RRGiqI893ghCiMJlEII8ZrZ2toyZswYIPW2bXZ4e3vrt8eMGcPdu3e5d++evv0nj3memTNn0rhxY3777Te0kXchJZmUhBhiz+7SH5O+tzJ9MFTMLFF1KTw+tY2k0BsvdkJV5eS+7URE/DdZevny5encuXOGXkRLS0u0Wi2//vorJ0+efOHrSWNs/N8YVFNTU6ysrLh+/XqGW95CiFcno7yFEMIAhg4dyuzZs7l792622pkyZQo7d+7k6tWrbNu2jZIlS2Z43d3dnSlTprxwe6qqcuDAAQ4cOJD1AYoGu8Y99V9aVm5EzMmtADxYkTrARTExw8jG6b/nKJ+hjLMVe0+foEyZMoSEhADQuXNnzpw5k+EW9zvvvAOkBkM7O7ssB+M8S9u2bbG0tCQuLo5t27bp57xMe75SCJE90kMphBAGYGFh8VKjr5+mSJEiBAYGMm7cON544w3Mzc0xMzOjSpUqfPHFFwQGBuLs7PzcdlRV5dSpU9y9exdra2sgNbwZmZqBxggja0cs3D1xeX8alhXe1L/PoflAbOp1xMjaEcXYFLOSlSna/WuM7Ys995xGGoVmFYsCGW8lz5w5k+3btxMWFsZHH32Ek5MTxsbGFClShHLlymW4Ld+1a1fatGnD9OnTM1zLk8qWLcuWLVvw9PTE0tKS4sWLM2rUKH766afn1imEeD5FzepfnhBCiEIhJCSEZcuW4efnx/nz5ylSpAg9evTAx8eH+vXrc+1BDC1n73t+Q69o58gmVChq81Lv0Wq1XL16lTNnzmT4k9bDaWJiQpUqVahRowY1atSgevXq1KhRg+LFi8szkELkEgmUQghRyERFRbF69Wr8/PzYu3cvFhYWdOrUCR8fH1q2bJlpHe3efxzh4I1wUnQ599+FkUahYTknlg70yLE2o6KiOHfuXIaQefbsWf2AHycnJ33ITPvzxhtvyLKMQuQACZRCCFEIbN++ndatWz/zmJs3b2aYbijNrYg4WszaS6JWl/lNr8jMWMPOkW9R2jF3w5xOpyMoKEgfLtOC5tWrV1FVFY1GQ4UKFTIFzTJlyqDRyFNhQrwoCZRCCFFA6XQ6Dhw4gL+/P/7+/llOzZPe0wIlwIrAEMauOZtjtc3oUp3u9V2ff2AuiYuL4/z585lum6eNNrexsdHfKk+7bV69enXs7OwMVrMQeZkESiGEKGAuXryIn58f/v7+BAcH4+rqSq9evejVqxdVq1Z95XbnBlxl5vYr2a4v5uAy1n49CC8vr2y3lZNUVeXevXuZQubFixfRarVA6uTxT/ZmVqhQIcO0REIURhIohRCiALh37x4rVqzAz8+PEydOYG9vT7du3fDx8aFx48Y5dvt2RWAIkzacR6tTX+qZSiONgrFGYUKbiiya8CHHjh1j586dvPnmm89/s4ElJSVx6dKlTLfN06Z8Mjc354033sgUNIsUKWLgyoV4fSRQCiFEPhUTE8PatWvx8/Nj586dGBsb0759e3x8fGjbti1mZma5ct5bEXF8+OtuLj1S0CjwrFxppFFI0al4VXBmWufqlHa0JCYmhlatWnHp0iX27NlDjRo1cqXO3BYWFpYhYJ45c4Zz587pl2QsVqxYhoBZvXp1qlSpkmvfFyEMSQKlEELkI1qtlh07duDn58e6deuIi4ujSZMm+Pj40LVrVxwcHF5LHe+++y5XQqN59/PZBFx5QEh4XIZVvBXA1cmSZhWL4uPpmmlqoKioKP0SiHv37qVy5cqvpe7clpKSwvXr1zPdNr958yaQOrdnpUqVMvVmlixZUqY0EvmaBEohhMjjVFXl2LFj+Pn5sWLFCh48eECVKlXo3bs3PXv2pEyZMq+1nvDwcIoXL853333HiBEjAIhN1BIUHkuSVoepsQY3JyuszJ79XGFYWBhvvfUWjx49Yv/+/ZQtW/Y1VG8Y0dHR+imN0vdqRkdHA+Dg4JBhEFCNGjWoVq0aVlZWBq5ciBcjgVIIIfKoGzdu4O/vj5+fH1euXKFYsWL07NkTHx8fatWqZbAerblz5zJy5Eju3LlD0aJFs9XWvXv38PLyQqfTsW/fPkqVKpVDVeZ9qqoSEhKSqTfzypUr6HQ6FEWhfPnymW6blytXTqY0EnmOBEohhMhDwsLC+Ouvv/Dz8+PQoUNYW1vTpUsXfHx8aN68OUZGRoYukfr161OiRAnWr1+fI+0FBwfj5eWFpaUle/fuxcXFJUfaza/i4+O5ePFihpB5+vRpwsJS10a3srKiWrVqmYLm63rcQYisSKAUQggDi4+PZ+PGjfj5+bF161ZUVaV169b4+Pjg7e2dp257nj9/nmrVqvH333/TpUuXHGv36tWrNGnShKJFixIQEICjo2OOtV0QqKpKaGhoplWALly4QFJSEgClS5fOdNu8YsWKmVY+EiI3SKAUQggDSElJYe/evfj5+bF69WoeP36Mh4cHPj4+vPfee9m+lZxbPv/8c/744w/u3r2b46OVz58/z1tvvUW5cuXYuXMntra2Odp+QZScnMyVK1cy3Ta/ffs2AKampllOaVTYe4FFzpNAKYQQr9GZM2fw8/Nj2bJl3Llzh/Lly+Pj40OvXr1wd3c3dHnPpNVqKV26NF27duXnn3/OlXOcOHGC5s2bU6NGDbZt2ybrbL+iyMjITFManT17lri4OACKFCmS5brm5ubmBq5c5FcSKIUQIpfdunWL5cuX4+fnx9mzZ3FycqJHjx74+Pjg4eGRb6aL2bp1K23btiUwMJB69erl2nkOHjxIq1ataNSoERs2bJB5G3OITqfjxo0bmULm9evX9euaV6pUKdNtc1dX13zzd1QYjgRKIYTIBVFRUfz999/4+/uzZ88ezMzM6NixIz4+PrRu3TpfPtfWo0cPzp07x9mzZ3M9YOzevZu2bdvSunVrVq9enS8/r/wiJiYmy3XNo6KiALC1tc3Um1mtWjVsbGye3bAoVCRQCiFEDklKSmLr1q34+fmxceNGkpKSaN68OT4+PnTp0iVfPxMYGRlJ8eLF+eqrrxg9evRrOeeWLVvo1KkT7777Ln5+fnlihHthoaoqt2/fznTb/NKlS6SkpABQtmzZTEGzfPnyheb79CpzrxZkEiiFECIbVFXl4MGD+Pn58ddffxEREUGtWrXo1asX77//PiVLljR0iTli4cKFDB48mNu3b1O8ePHXdt7Vq1fTvXt3+vXrx2+//SbzLxpYYmJipimNzp49y/379wGwsLCgWrVqmW6bOzk5GbjynHE19DH+R0IIuPyAkIgsVodytKRZpaL08nDF3aVw9eBKoBRCiFdw6dIl/P398ff35+bNm5QuXZpevXrRq1cvqlWrZujyclyDBg1wcHBgy5Ytr/3cS5cupU+fPgwbNow5c+bI83x50IMHDzL1Zp4/f57ExEQASpQokak3s1KlSpiamhq48hdzKyKOcWvPsv9amH59+qfJav36wkACpRBCvKDQ0FBWrFiBn58fx44dw87Ojm7duuHj44OXl1eB7T27fPkylStXZuXKlbz33nsGqWHBggV88sknjB07lmnTpkmozAe0Wi1Xr17NtNxkcHAwACYmJlSuXDlT0CxevHie+v6uCAxh0obzaHXqM4Pkk4w0CsYahSneVelR3zUXK8wbJFAKIcQzxMbGsm7dOvz8/NixYwcajYZ27drh4+NDu3btCsU0K+PGjWP+/Pncu3fPoNf7448/8tlnn/H1118zfvx4g9UhsicqKkq/rnn62+YxMTEAODk56Vf/SQuZVatWNcgUUnMDrjJz+5VstzOqVUWGNsvb04JllwRKIYR4glarZefOnfj5+bFu3TpiY2Np3LgxPj4+dOvWrVCt4pKSkoKbmxvt27dn/vz5hi6Hr776ii+//JJZs2YxYsQIQ5cjcohOpyM4ODjTSPOrV6+iqiqKouDu7p6pN7NMmTK5dmdgRWAIY9eczbH2ZnSpTvcC3FMpgVIIIUgdXHP8+HH8/PxYvnw5Dx48oHLlyvj4+NCzZ0/Kli1r6BINYseOHbRq1YpDhw7h6elp6HJQVZWxY8fy3XffsXDhQj766CNDlyRyUVxcnH5Ko7Tb5qdPnyYiIgIAGxsb/brmt27d0j/j27dvXxYvXqxv588//+TDDz9Ep9NhZmbG33//Tbt27Z563lsRcbSYtZdErS7HrsXMWMPOkW8V2GcqJVAKIQq1mzdv4u/vj5+fH5cvX8bFxYWePXvSq1cv6tSpk6ee5TIEHx8fjh07xsWLF/PMZ6GqKsOGDWPevHn4+vri4+Nj6JLEa6SqKvfu3cvUm3nu3DnSIo2VlZV+xaV79+6xaNEiVFXFwsKCdevW0apVq2eeo/cfRzh4I/ylnpl8HiONQsNyTiwd6JFjbeYlEiiFEIVOeHg4q1atws/PjwMHDmBlZUWXLl3w8fGhefPmGBsX3rnk0ouOjqZYsWJMnDiRL774wtDlZKDT6Rg4cCBLly7lr7/+okuXLoYuSRjYxIkT+frrrwGoVq0apUqV4uDBg0RHR+uPcXd3p1GjRhlumxcpUiRDO1dDH9Ny9r5cq3PnyCZUKFrwphSSn5pCiEIhISGBTZs24efnx5YtW9DpdLRq1Qp/f386duyIlZWVoUvMc1atWkVCQgK9e/c2dCmZaDQafv/9d+Lj4+nRowfr16+nTZs2hi5LGFD6CdXr1q1LpUqV2LZtGwCWlpZ88MEHxMbGcubMGVauXEl8fDwApqam6HQ6dDodtra2OLnXQlutM8Yu5fXtRe3359GB5QA4th6CNuoeMWd3o2oTsXCrjWOrT1BVHZG7fif+xjE0phZYVHgTh+YD0Zha6NuJ3PUbb/09Fu2jB0RFRWFkZETp0qVp06YNEyZMwNnZWX+sm5ubfkT85cuXGTNmDLt378bU1JTmzZvz888/U7Ro0dz7QF+S9FAKIQosnU7Hvn378PPzY9WqVURHR1O/fn18fHzo3r07Li4uhi4xT/Py8sLCwoLt27cbupSnSk5O5t1332XHjh1s3bqVpk2bGrokYSCTJ09mypQpADg6Ouqfs7Szs2Pbtm0ZngFOSUnho48+4s8//8y6MY0xRTqNwbJiAyBjoNRY2qGLe5ThcNNiFdAlxqKNvJdhv3Wtd3B6Z6j+65BZ3VETY7M8ZdWqVTl58qR+mdH0gdLBwYHIyMgMx7dq1Yp//vnn6R/Ia1YwJ00TQhRqZ8+eZcyYMZQpU4ZmzZqxe/du/ve//3Hp0iWOHj3K8OHDJUw+x/Xr1/n333/p16+foUt5JhMTE/766y+8vLxo3749hw4dMnRJIg9IC5MAmzdvzjSg7MSJE/owaW9vz+7du4mOjuabb2ekHqDTEr71Z3TJiZkbV1WK9f2RUkOXYmSb2kOYdP8aanIixQfMpcTHv6KYpE6vFXtuN+n77ZxaD6bkhwu4ExpGcnIyt2/f5p133gHg/Pnz+h7VJ9WsWZNbt25x6dIlfa/k9u3b9SsU5QUSKIUQBcLt27f5/vvvqVmzJjVq1OD333+nQ4cOHDhwgOvXrzN16lQqVapk6DLzDV9fX2xsbOjUqZOhS3kuc3Nz1q5dS+3atWnTpg0nT540dEkiD5kyZYr+9naa9evX67f79+9Ps2bNsLGxoWOfjzEpmjqjgy4+msQ7FzO1Z12zFWbFK2Jk7YBZif9+plhVb4FpUTdMHEpgUqQMAKo2CV1slP4YxdiU8B0LqFalEubm5pQqVSpDiLxw4UKW1zBnzhxKlSpFpUqV8PLy0u8PCgp68Q8il0mgFELkW9HR0SxatIi3334bV1dXJk6cSKVKlVi/fj337t1j3rx5NGzYMM+MTs4vdDodS5Ys4b333jPIZNKvwsrKis2bN+Pu7k6rVq2e+h+zKBzq1q2Lvb09kDr1Vbt27YiN/e9Wc2hoqH67TJky+u0krQ5ju//uXqQPg2mMHf5by14x/m/pSGP7/96nGJnot1VtEgCxl/7l4ZpvSAg6RWREOCkpKZnafjL4pqlSpYp+O/3z3gkJCVkebwgSKIUQ+UpSUhIbN27UPwM5cOBAAH7//XdCQ0P566+/8Pb2zjdrBOdF+/btIzg4OM/f7n6Sra0t//zzD8WLF6dFixZcu3bN0CUJA6lWrRo7d+7UL0IQEBBAmzZt9KvxpH/kJe05RQBTYw3aR/+FTY2Vfaa2FcUo075n7U8Te36Pfrv/J8OJjo5GVVU+/fTT515P2nOVqefJm78gS6AUQuR5qqpy6NAhhgwZQokSJfD29ubSpUtMnTqVkJAQdu3axYABA7CzszN0qQXC4sWLKV++PI0aNTJ0KS/N0dGRHTt2YGNjw9tvv01ISIihSxIGUrduXXbv3q0fOb1//35atWpFdHQ03t7e+uMWL17M3r17iYmJYftqX5If3ARAY2GLWckqWbb9KhTNf4GzmKMdJiYm7N+/nyVLluTYOQxJAqUQIs+6cuUKkyZNokKFCjRs2JD169czcOBATp8+zenTpxk9ejSlSpUydJkFSkxMDKtXr6Zv3755tifkeVxcXNi1axcajYa3336be/fuPf9NokCqWbMmAQEB+oEshw4dokWLFlSsWFG/dGdkZCRNmzbFxsaGT/83PPWNGiMcWw9BY2KWY7VYVv7vF7Rvv/kKCwsLmjRpgpOTU46dw5BkHkohRJ7y4MEDVq5cydKlSwkMDMTW1pauXbvy+++/06RJkwxzzYmc9/fffxMbG5sn5558GaVKlWLXrl14eXnRsmVL9uzZk2GOP1F4VKtWjb1799K8eXPu3btHYGAgb7/9Njt27KBBgwYsWLCAkydPEhMTg7OzM47lahBVsQ0mxdxztA6rKk0gMQ71zCZiwu/h5ubGqFGjuH37tn66o/xM5qEUQhhcbGws69evx8/Pj+3bt6MoCm3btsXHx4f27dtjYWHx/EZEjmjevDkAu3fvNnAlOePSpUs0adKE0qVLs2vXLv1ADSGeRlbKeTVyy1sIYRBarZbt27fTp08fXFxc6NWrF48ePeLnn3/m3r17rF+/nm7dukmYfI2CgoIICAigb9++hi4lx1SuXJkdO3Zw48YN2rVrpx+UIcTTuLvY4FXBGSNNzj7yYaRR8KrgXCDDJEgPpRDiNVJVlZMnT+Ln58fy5cu5f/8+FStWpHfv3vTs2ZNy5coZusRC7auvvmLGjBncv38fa2trQ5eTo44cOUKLFi1488032bRpk/yiIp7pVkQcLWbtJVGry7E2zYw17Bz5FqUd88dUXC9LAqUQItcFBQWxbNky/Pz8uHjxIkWLFuX999/Hx8eHunXr5tvBHwWJqqq4u7vTuHFjFi9ebOhycsW+fft45513aN68OWvWrJGppcQzrQgMYeyasznW3owu1ele3zXH2strJFAKUUDFJmoJCo8lSavD1FiDm5MVVmavbxxeZGQkq1atws/Pj/3792NpaUnnzp3x8fGhRYsWGBvLmMC85N9//8XLy4uAgIACvR72P//8g7e3N97e3ixfvlz+HopnmhtwlZnbr2S7ndGtKjGkWYUcqCjvkkApRAFyNfQx/kdCCLj8gJCIONL/41YAV0dLmlUqSi8PV9xdcv45noSEBLZs2YKfnx+bN29Gq9XSsmVLfHx86NSpU4G7jVqQfPDBB+zcuZMbN26g0RTsx+vXr1/Pu+++S69evVi0aFGBv16RPSsCQ5i04TxanUqK7sUjk5FGwVijMNW7aoHumUwjgVKIAuBWRBzj1p5l/7UwjDTKM3/opb3uVcGZaZ2rZ/t5Hp1Ox/79+/Hz82P16tVERUVRt25dfHx86NGjB8WKFctW+yL3xcXFUaxYMUaOHFkgpi95EcuXL6dXr158/PHHzJs3Tx67EM9kyJ+x+YUESiHyuez+9jzFuyo9XuG35/Pnz+Pn54e/vz+3bt3Czc2NXr160atXrwzrzoq8z9/fHx8fH65du0b58uUNXc5r88cff/DBBx/w2Wef8f3330uoFM+lvwt05QEh4VncBXKypFnFovh4uhbY0dxPI4FSiHwsp57vGdWqIkObPX8S37t377J8+XL8/Pw4deoUDg4OdO/enV69etGwYUO5dZhPtWrVioSEBPbty7259/Kqn3/+meHDhzNp0iQmT55s6HJEPmLo59TzmsJ75ULkcysCQ3IkTALM3H6FItZmWT7n8/jxY9asWYOfnx+7du3C1NSUDh06MHnyZN555x3MzHJuaTLx+t2+fZudO3fy22+/GboUgxg2bBixsbF88cUXWFlZMXr0aEOXJPIJKzNjqpawM3QZeYZ0JwjxmkyePBlFUfR/3n777UzHHD16NMMxiqKQkJCQ6bhbEXFM2nD+qee67z+W4OntCZ7eHm1U6AvV9+WG89yKiAMgOTmZzZs38/777+Pi4kK/fv3QarX89ttv3L9/n1WrVtGxY0cJkwXA0qVLMTc3p1u3boYuxWDGjh3L+PHj+fzzz5k3b56hyxEiX5IeSiEMZPfu3Zw7d45q1arp9/30008v9N5xa8+ifYnnJV+EVqcyZPG/lLm5kRUrVhAWFkbVqlWZNGkS77//Pq6uBX+UYmGjqipLliyhS5cu2NraGrocg/rqq6+IjY1lyJAhWFpa0q9fP0OXJES+IoFSCAOaO3cuCxYsACA0NJRVq1Y99z1XQx+z/1pYjteSolM58zCZ47sO0q9fP3x8fKhRo4YMVCjAjhw5wuXLl5k7d66hSzE4RVH48ccfiY2NZeDAgVhYWNC9e3dDlyVEviGBUggDKFu2LDdv3sTPz4/p06djb2/PwoULSUpK0r/2pG+++YZt27Zx6vxlYh8/QlVVjK0dMStTA/uGPTC2d8nyXCkJj4nasoL4q0dQkxMxK1kZh7c/wLRoWf0xj09tI+7iPpIj7qBJimXOnLMsX76cxo0bM27cOGrUqKE/tl+/fixZsgRInc9v586drFq1ipiYGGrVqsXs2bOpW7duDn9iIjcsWbKEUqVK0axZM0OXkicoisL8+fOJi4vDx8cHS0tLOnToYOiyhMgX5BlKIQygc+fOFC9enNjYWP7880+Sk5NZuHAhAIMHD87yPatWreLff/8lJvIhqjYJUpLRPgol9swO7vuNJiX+cZbve/j3V8Se2YEuPhpVm0hC8Gnu+48hOeKO/pj468dICD5DyuNwkhMTSE5O5s6dO6xcuZJGjRpx9erVLNvu168fP//8M/fv3ycmJoZ///2Xd955h+jo6Gx+QiK3JSQksGLFCnr37o2RkZGhy8kzjIyMWLx4MR06dKBr167s3LnT0CUJkS9IoBTCAExMTPj4448B+OWXX1i1ahV3797F0tKSgQMHZvmeyZMnc/jYCUqPWIHr5+spNcwPq+otAEiJiSD2/J4s32dk7USJQb9TapgfFu6eAKiJcUTt99cfY1OnLcX6zabU/5ZR5vP1hNwNZcKECQDExMTob8s/ydLSkqNHjxIWFqZfri8sLIwtW7a89GciXq8NGzYQFRVF3759DV1KnmNsbMzy5ctp3rw5HTt25N9//zV0SULkeXLLWwgDGTRoENOmTePGjRsMHz4cgF69euHg4JDl8U5OToz9Yhx3Dx0lJS4adNoMryeHh2T5PvsmPpjYp65W49CsP//X3p2HNXXmewD/niQkIQHZFBHH6FgL11KXXlds0XKRUhWt2qoUsTjVdkbHVq1MH8U+re0z2mqtOk7nmc59tBWoFovLlbqgoqKVVkfbcdeiKEsdBQmLkgTMdv9Ao4zIYoKHJN/PXyHJec+PuPDlPed9f4aLRwAANVf+ZXuPVO2Hqh8zUHv1PMy6CmiW1R/73LlzDY797rvvYsCAAQCAl19+GTk5OQCAgoKCRr5zagvWrVuHwYMHIzQ0VOxS2iSFQoEtW7Zg5MiRGDlyJPbv34/+/fuLXRZRm8UZSiKRdOzY0bZVi1arBQDMmjWrwfcePXoUkZGRyNmbBXN1+QNhEgCsxtsNHitrF9jgY0vNLVgtZpiqSnE97U/Qnz8E880bgPnBsQ0GQ4Nj398RR61W2x43tNURtR3Xrl3D7t27uZK5CZ6ensjMzERYWBhiYmJw+vRpsUsiarMYKIlEdHdmEgCGDRtWb/HL/dLT02E2mwEA6rDn6y5Nz98Ov+G/b/IcppulDT6WKL0hSKTQ5/0Iq7EuACq79kbnP6bgzNVKZGZmNjm2h4eH7TFXgzuPr7/+Gh4eHlzF3Aze3t7YtWsXNBoNoqOjkZfnmGYCRK6GgZJIRAMHDsTMmTPx0ksvYeHChQ99n0x27+4UQSqHIJPjdsll3DredOir/H49TJUlMOurUHHgK9vzyt8+Uzee5L4FGVIPSD2UsFRex5///OdH+I6orbu79+TYsWPh6+srdjlOwdfXF3v27IG/vz+ioqJ4SwdRA3gPJZHI/va3vzX5nvHjx2PFihWwWCyoPrUH1af2AABk/p2bPNZ8qwxXv6i/0EdQqOAbMRkAoHyiP4QcBazGWtRc/glFqyah9yogJCSk5d8MtXk//fQTzp49i08//VTsUpxKhw4dkJ2djaFDhyIqKgqHDh1C585N//sjchecoSRyAuHh4cjIyEDv3r0hkysg8wmE77DX4DP4lSaP7TD+Pah7Da+7xC1TQNm1N4LiP4HHnTDq4RuEwAmLIA8OheChgJdfByQlJTW7aw85l5SUFHTq1AnR0dFil+J0goODsW/fPhiNRgwfPhylpaVNH0TkJgSr1erY/m1E1KoultxC9KpDrTZ+9tyh6BHo3Wrjk3hqa2sRHByMadOmYdmyZWKX47Ty8vIwdOhQBAUF4cCBAw/dmYHInXCGksjJPNnRGxE92kMqcewiGKlEQESP9gyTLmzHjh0oLy/n3pN2CgkJQXZ2NoqLizFixAjcutVwUwEid8JASeSElozrBZmDA6VMImDJuF4OHZPalpSUFPTv3x9hYWFil+L0nn76aezZswfnz59HbGws9Hq92CURiYqBksgJdfFX4cMxjg0FH40JQxd/lUPHpLajtLQUO3fu5N6TDtSvXz/s3LkTx48fx/jx41FbWyt2SUSiYaAkclJxAzRIesExK7H/9EIoJg3QOGQsaps2bNgAQRAQFxcndiku5dlnn0VmZiZycnIQFxcHo9EodklEouCiHCInl36sCB9knoXJYoXZ0vx/zlKJAJlEwEdjwhgm3UDfvn3Ro0cPbNq0SexSXNKOHTswduxYTJw4EampqZBKpU0fRORCOENJ5OTiBmiQPXcYhnQPAIAmF+vcfX1I9wBkzx3GMOkGTpw4gZMnT3IxTisaNWoUNmzYgPT0dPzhD38A52rI3XBjcyIX0MVfhbRpg3Cx5BbWHy3CgbxSFGn1uP9HmgBAE6BCZEggEgZruJrbjaSkpCAwMBAvvvii2KW4tAkTJkCv12Pq1KlQqVRYtWoVW5KS2+AlbyIXpas1oUCrw22TBXKZBN0C1FAr+DukuzEajejcuTMSEhKwYsUKsctxC3//+98xc+ZMJCcnY/HixWKXQ/RY8KcLkYtSK2QIC/YRuwwS2a5du3Djxg1e7n6MZsyYAb1ej6SkJKjVaiQnJ4tdElGrY6AkInJhKSkp6Nu3L/r06SN2KW5l3rx5qK6uxsKFC6FWqzF79myxSyJqVQyUREQuSqvV4rvvvmObRZG8//770Ol0mDNnDtRqNaZPny52SUSthoGSiMhFffPNN7BarYiPjxe7FLckCAKWLl0KnU6HN998EyqVin8W5LIYKImIXFRKSgpGjhyJwMBAsUtxW4Ig4K9//Sv0ej1ee+01eHp6Yty4cWKXReRwDJRERC7o7NmzOH78OLZs2SJ2KW5PIpFgzZo10Ov1mDRpEjIzM7mFE7kcbmxOROSCUlJSEBAQgFGjRoldCgGQSqVIS0tDTEwMxo0bh4MHD4pdEpFDMVASEbkYk8mEtLQ0xMfHQy6Xi10O3SGXy5GRkYFnn30WsbGxOHLkiNglETkMAyURkYvZu3cvrl+/zr0n2yClUolt27ahT58+GDFiBE6cOCF2SUQOwU45REQuZtKkSTh37hxOnTrF1n9tVFVVFaKiolBYWIhDhw6hZ8+eYpdEZBfOUBIRuZCKigps27YNiYmJDJNtmI+PD3bv3o2goCBERUUhPz9f7JKI7MJASUTkQjZu3AiTyYTJkyeLXQo1ISAgAHv37oW3tzeioqJQXFwsdklEj4yXvImIXEh4eDj8/f2xY8cOsUuhZiouLkZERATkcjkOHTqEoKAgsUsiajHOUBIRuYhffvkFR44cwdSpU8UuhVqgS5cu2LdvH3Q6HaKjo6HVasUuiajFGCiJiFxESkoKfH19MXr0aLFLoRZ64oknkJ2djevXryMmJgZVVVVil0TUIgyUREQuwGw2IzU1Fa+++iqUSqXY5dAj6NmzJ/bu3Yv8/HyMGjUKOp1O7JKImo2BkojIBezfvx9Xr17l3pNOrm/fvsjKysLJkycxduxY1NTUiF0SUbMwUBIRuYB169YhNDQUAwcOFLsUstOgQYOwfft2HD58GBMmTIDRaBS7JKImMVASETm5mzdvYuvWrZg6dSr3nnQRw4YNw9atW7F7924kJCTAbDaLXRJRoxgoiYicXEZGBmpqapCQkCB2KeRAL774IjZu3IjNmzdj2rRpsFgsYpdE9FDch5KIyMlFRERApVJh9+7dYpdCrWDDhg1ISEjAjBkz8Pnnn3MWmtokmdgFEBHRo7t06RIOHz6M9evXi10KtZL4+Hjo9Xq88cYbUKvVWLp0KUMltTkMlERETiw1NRXt2rXD2LFjxS6FWtH06dOh0+kwZ84ceHl54f3332/0/bpaEwq0Otw2WSCXSdAtQA21gj/yqfXwbxcRkZOyWCxITU3FxIkToVKpxC6HWtns2bOh0+mwcOFCqNVqzJs3r97rF0tuYf3RIhz4pRRF5Xrcfz+bAEDjr0JkaCAmD9LgyY7ej7V2cn0MlERETurgwYMoLCxkq0U3kpycDJ1Oh6SkJKhUKsyYMQPF5Xokbz2N7y+VQSoRYLY8uDTCCqCwXI+0o4VY92MBInq0x5JxvdDFn7+IkGNwUQ4RkZOaOnUqcnNzkZeXx3vq3IjVasWcOXOwevVqvL0qHVll7WCyWBsMkg8jlQiQSQR8OCYMcQM0rVgtuQsGSiIiJ1RdXY2goCDMnz8f7733ntjl0GNmtVoxfPZy5KufQt3846P/QpH0QghmRT7psNrIPXEfSiIiJ7R582bodDpMmTJF7FJIBBuPF98Jk4A9YRIAlu/Jw8ZjRfYXRW6NM5RERE4oMjISEokE+/btE7sUekwWLVqEDz/88KGvCwo1NHM3PtLYCpkE2XOH8Z5KemScoSQicjIFBQXIyclBYmKi2KWQizBZrEjeelrsMsiJcZU3EZGTSU1NhZeXF15++WWxSyGRqJ+OQvvYuQ4bz2yx4vtLZbhUegs9Auu2FDIYDPD09HTYOci1MVASETkRq9WK1NRUvPLKK1Cr1WKXQ21MTeEplHyTDODB0Fn4SSwAQNouEL+Z+SUAoPpUNrQ7VwEAfJ97FTOu7ceVw9tQUFCANWvWcEsqajYGSiIiJ5Kbm4v8/HysXbtW7FLIxdz8aQeyD98UuwxyUgyUREROZN26dejWrRsiIiLELoUes9smi+2x7sw+6M7UX5ClfjoKXr2iHnl8i+Em/CJfx6kNn0AGM8xm8yOPRe6HgZKIqA1qqBezYL6Nb7/9Fu+88w4kEq6pdDeVhtutOr6ya2+0GzQeVRY5woJ9WvVc5HoYKImI2oimejH7yc2QDXoVQ0dPEqtEEtH9nXAetiinpvDUfV/de7/V0vRsozyoB4D6M6FEzcVASUQksub2Yi6/LUW7frF4fdNlRJy4yV7MbkYqaXoDc0Emtz22Gmttj00V/27GsQoAgFzG2W9qOf6tISISUfqxIgxfeRA/XNYCQNP9mIW6/7Z/uKzF8JUHkc4OJ27D11Pe5HtkPh1tj2v/fQFmw01YTUZUHkxr1jkEAN0CuHsAtRxnKImIRPL5gYtYvifvkY41W6wwW6yYv+U0yqpr2YvZDTRn5lDq5Qdlt2dQU/AvmG9p8evnrwEQIDTznltNgApqBaMBtRxnKImIRJB+rOiRw+R/Yi9mul/70fOg6hkBiWc7CFIPeHbri6DXPmvyOEEQEBkS+BgqJFfEXt5ERI9Zcbkew1ceRK0DFz+wF7N7uFhyC9GrDrXa+Nlzh9o65RC1BGcoiYjuuHz5Ml5//XV07doVcrkc3t7e0Gg0iIyMxOzZs2EwGFo8Zk5ODgRBgCAItq4jyVtPw9TUvZItxF7M7uHJjt6I6NG+WQt0WkIqERDRoz3DJD0yBkoiItSFyQEDBuCrr75CUVERjEYjqqurUVxcjJycHKxevRo6nc7u81wsuYXvL5U1vfimhe7vxUyubcm4XpA5OFDKJAKWjOvl0DHJvTBQEhEBWLlyJcrLywEAycnJuHHjBgwGAy5cuIDU1FTExsZCKpXafZ71R4scPrt0l1Qi4OsjdfdS6vX6VjkHia+Lvwofjglz6JgfjQnj7RJkFwZKIiIAeXn3FsiMHDkS7du3h1KpRGhoKKZMmYLvvvsOfn5+AICzZ89iwoQJCA0NhZ+fH2QyGXx9ffHcc8/hyy+/RGO3pmds3oJf176NouXjcfUfb+DmP/+v3vtv3yjEja0f4+r//h7FKyehcOkYFK2chOtfv4vqk3vqvbem8BQKP4lF4SexKNu+ElUn9uDTN2Mhl8uxbNkyAMDixYsRERGB4OBgeHp6QqlUonv37pg2bRoKCgrq1fb888/bLs//+OOPSExMREBAAHx9fTFixAjk5+c74qMmB4gboEHSCyEOGetPL4Ri0gCNQ8Yi98W9AYiIAGg0936gxsTEYMSIEQgPD0d4eDj69+8PDw8P2+sXL17Epk2b6h1fVVWF3Nxc5ObmoqSkBAsWLHjgHLuyslBaUmL72lRxDRX710Dq5Qf1U8PuPPdv6H/JrXectVaH2l/PofbXczDrK+ETPvGBsQ35xx7o7QwAGRkZOHnyZL3nrly5gitXrmDXrl04c+YM/P39Hzhu1KhRqKiosH2dlZWF0aNH4/Tp0w6ZqSX7zYp8Eu29FPgg8yxMd7aRai6pRIBMIuCjMWEMk+QQnKEkIgLw9ttvQ6Go6xSi0+mwadMmzJs3D0OGDEGnTp3w8ccf22YHe/XqhR07duDq1auoqamBwWDADz/8AJWq7pLhZ5991uAsZWlJCfz+Zzq6zP0WftG/tz1fffpeEPTo0A2BEz5A5z+mQJO0FZqkLQia8ikEj7ra/nNG8y6L4Sa8+7+E37z1NXLPXEFiYiIAYNGiRTh16hTKy8thNBpRUlKC3/3udwCAa9euYf369Q1+Hp07d8aFCxfw66+/omfPngCA8+fP49ixYy37YKlVxQ3QIHvuMAzpHgCg6W46d18f0j0A2XOHMUySw3CGkogIdSHx559/xgcffICsrCxUV1fbXtNqtUhOToa3tzdmzZqFoKAgpKSkYMGCBcjPz4der68X8rRaLUpLS9GxY8d65/ivsN4wDBwLAPDqNRwVe/8BADBVldreI1X7QXd6HypyUmCqvH6nfd69sS2Gm7DoKyFV+9UbW+bXCX5R0yAIEnh6++C3mrrXAwICsHDhQhw/fhxlZWUwGo31jjt37lyDn8fixYsRGhoKoO4WgPPnzwMACgoKMHjw4CY/T3p8uvirkDZt0L1e8HmlKNI+2AteE6BCZEggEgZruJqbHI6BkojojqeeegoZGRmora3Fzz//jJycHHzxxRcoKqpb6JKeno5Zs2YhLi4O27dvb3SshrYYeiIkFGfuPBY8lLbnrabbtsdl25bCkN/4LKDVePuB5+Qdn4Bwpy3j3Y4qR48eRWRkJMxmc4vqBGCblQQAtfpeK76amppGayPxPNnRG4vGhGERwqCrNaFAq8NtkwVymQTdAtTsgEOtipe8iYhQdw/kXQqFAuHh4ViwYAE2bNhge16r1aKystIWJhUKBQ4fPgyj0Qir1drgvYj381UrcfeCpCA8eGnSUlN9L0xKPdAxYRk0725D1/nbIVE2PqMkyOouid/fizk9Pd0WJidPnoyysjJYrVasXr260bEA1LtntKFaqW1TK2QIC/bBMxo/hAX7MExSq+PfMCIiAG+99RZu3LiByZMn21ZFV1RU1AuUYWFhkMlkEAQBVqsVEokE3t7eMBgMWL58uW3boYeRSSXQ+KtQWP6QLX0kUtRFQisEQQKJ3BNWYy2q/rkVlprm7S95fy9mmezef/FKpRKenp44efIk/vKXvzRrLCKi5mKgJCICYLFYkJWVhaysrAZf9/T0xIIFC+Dl5YWYmBhkZWXBYDCgT58+AIDAwED4+vqisrKy0fNEhgYi7WhhgytyJXJPKLv/N2ou/wSrqRbXvnyr7nmVLyQKNSy1jW+sLpXU78U8fvx4rFixAhaLBWvXrsXatWsBACEhjtluhojoLl7yJiICMHfuXCQnJyMiIgIajQYqlQoeHh7o0qUL4uPjceTIEfTr1w8AkJaWhsTERHTo0AEqlQrR0dHIycmBj49Pk+eZPEjT6PYu7WPfgfrpKEhUPhA8FFB2ewZB8R9DUKgfesxdZosVCYPvrdoNDw9HRkYGevfuDaVSia5du2LJkiWYP39+Mz4RIqLmE6yN7cBLREQON2XtUfxwWevQ9otSiYAh3QOQNm2Qw8YkImouzlASET1m7MVMRK6GgZKI6DFjL2YicjUMlEREImAvZiJyJbyHkohIROnHitiLmYicHgMlEZHIisv1SN56Gt9fKoNUIjQaLO++HtGjPZaM68XL3ETUJjBQEhG1EezFTETOioGSiKgNYi9mInImDJREREREZBeu8iYiIiIiuzBQEhEREZFdGCiJiIiIyC4MlERERERkFwZKIiIiIrILAyURERER2YWBkoiIiIjswkBJRERERHZhoCQiIiIiuzBQEhEREZFdGCiJiIiIyC4MlERERERkFwZKIiIiIrILAyURERER2YWBkoiIiIjswkBJRERERHZhoCQiIiIiuzBQEhEREZFdGCiJiIiIyC4MlERERERkFwZKIiIiIrILAyURERER2YWBkoiIiIjswkBJRERERHZhoCQiIiIiuzBQEhEREZFdGCiJiIiIyC4MlERERERkFwZKIiIiIrILAyURERER2YWBkoiIiIjswkBJRERERHZhoCQiIiIiuzBQEhEREZFdGCiJiIiIyC4MlERERERkFwZKIiIiIrLL/wO7x8fWq95emQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot the Greenberg Nilo-Saharan language family  network\n",
    "import matplotlib.pyplot as plt\n",
    "G.nodes[1]['subfamily'] = 'Nilo_Saharan'\n",
    "G.nodes[2]['subfamily'] = 'Koman'\n",
    "G.nodes[3]['subfamily'] = 'Saharan'\n",
    "G.nodes[4]['subfamily'] = 'Songhay'\n",
    "G.nodes[5]['subfamily'] = 'Fur'\n",
    "G.nodes[6]['subfamily'] = 'Maban'\n",
    "G.nodes[7]['subfamily'] = 'Chari_Nile'\n",
    "G.nodes[8]['subfamily'] = 'Central_Sudanic'\n",
    "G.nodes[9]['subfamily'] = 'Kunama'\n",
    "G.nodes[10]['subfamily'] = 'Berta'\n",
    "G.nodes[11]['subfamily'] = 'Eastern_Sudanic'\n",
    "labels = nx.get_node_attributes(G, 'subfamily')\n",
    "nx.draw(G, labels=labels, font_weight='bold')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f95d23f6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#create the Dimmendaal Nilo-Saharan language family network\n",
    "G2 = nx.Graph()\n",
    "G2.add_nodes_from([1, 9])\n",
    "G2.add_edges_from([(1,2),(1,3),(2,4),(2,5),(2,6),(5,6),(2,7),\n",
    "                 (2,8),(7,8),(2,9)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b2915405",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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duoSKFSsKXQ4VEgyURERElCW7d+/GqlWrsGbNGrRs2VLocqgQ4RhKIiIi+qGHDx+iWbNm6N27N7Zv385JOJQGAyURERF9V0hICKysrGBgYIDr169DXV1d6JKokGGXNxEREWVKKpWiT58+iImJwbVr1xgmKUMMlERERJSpqVOn4sqVK7hw4QKMjY2FLocKKQZKIiIiytC+ffuwbNkyrFy5Era2tkKXQ4UYx1ASERFROo8fP4a1tTXs7e2xa9cuTsKh72KgJCIiojTCwsJgZWWF0qVLw8PDAxoaGkKXRIUcu7yJiIhIITk5GX379kVERAQuX77MMElZwkBJRERECjNmzMDFixdx7tw5mJqaCl0OFREMlERERAQAOHjwIBYvXoylS5eiXbt2QpdDRQjHUBIRERGePn2Kpk2b4pdffsHevXs5CYeyhYGSiIiohPvy5QsaNWoEDQ0N3Lp1C5qamkKXREUMu7yJiIhKsOTkZPTv3x9hYWE4d+4cwyTlCAMlERFRCTZ79mycPXsWZ86cgZmZmdDlUBHFQElERFRCHT16FPPnz8eiRYvQoUMHocuhIoxjKImIiEqgFy9eoHHjxujYsSMOHDjASTiUKwyUREREJUxERAQaN24MZWVl3L59G1paWkKXREUcu7yJiIhKEJlMhoEDByIoKAienp4Mk5QnGCiJiIhKkHnz5uHkyZM4ceIELCwshC6HigkGSiIiohLCzc0Ns2fPxrx58/Dzzz8LXQ4VIxxDSUREVAK8evUKjRs3Rps2bXD48GGIxWKhS6JihIGSiIiomIuMjESTJk0AAHfu3EGpUqUEroiKG3Z5ExERFWMymQwODg748OEDPD09GSYpXzBQEhERFWOLFi3CsWPHcPz4cVSrVk3ocqiY4gAKIiKiYur06dP4+++/MWvWLNjZ2QldDhVjHENJRERUDPn4+MDKygo2NjY4fvw4J+FQvmKgJCIiKmaio6PRtGlTJCUl4e7duyhdurTQJVExxzGURERExYhcLsegQYPg5+eHO3fuMExSgWCgJCIiKkb++ecfHDp0CEeOHEHNmjWFLodKCHZ5ExERFRPnzp1Dp06dMH36dMybN0/ocqgEYaAkIiIqBt6+fQsrKytYW1vDzc0NEolE6JKoBGGgJCIiKuJiYmLQrFkzxMbGwtPTEzo6OkKXRCUMx1ASEREVYXK5HEOHDsWbN29w+/ZthkkSBAMlERFREbZixQrs27cPBw8eRK1atYQuh0oodnkTEREVURcvXkSHDh0wadIkLFq0SOhyqARjoCQiIiqCfH19YWVlhYYNG+L06dOchEOCYqAkIiIqYmJjY9G8eXNERETg3r170NPTE7okKuE4hpKIiKgIkcvlGD58OF6/fo1bt24xTFKhwEBJRERUhDg7O8PV1RV79+5FnTp1hC6HCAC7vImIiIoMd3d3tG/fHuPHj8fSpUuFLodIgYGSiIioCPD390fDhg1Rt25dnD17FkpK7GSkwoOBkoiIqJCLi4uDjY0NQkJCcO/ePRgYGAhdElEa/POGiIioEJPL5fj999/x7Nkz3Lx5k2GSCiUGSiIiokJs3bp12LlzJ3bt2oX69esLXQ5RhtjlTUREVEhdu3YNbdu2xZgxY7By5UqhyyHKFAMlERFRIRQQEICGDRuiZs2aOH/+PJSVlYUuiShTDJRERESFTHx8PFq1aoWPHz/i3r17KFu2rNAlEX0Xx1ASEREVInK5HKNHj8bjx49x48YNhkkqEhgoiYiICpGNGzdi27Zt2L59O6ysrIQuhyhL2OVNRERUSHh4eMDW1hYjRozAmjVrhC6HKMsYKImIiAqBwMBANGzYEBYWFrh06RIn4VCRwkBJREQksISEBNja2sLf3x/379+HoaGh0CURZQvHUBIREQnMyckJ9+/fx7Vr1xgmqUhioCQiIhLQ5s2bsXHjRmzZsgVNmjQRuhyiHGGXNxERkUBu376NVq1aYfDgwfj333+FLocoxxgoiYiIBPDp0yc0bNgQpqamcHd3h4qKitAlEeWYWOgCiIiISprExET06tULcrkchw4dYpikIo9jKImIiArYn3/+iTt37uDKlSsoX7680OUQ5RoDJRERUQHavn071q1bhw0bNqBZs2ZCl0OUJziGkoiIqIB4enrCxsYGAwcOxKZNmyASiYQuiShPMFASEREVgODgYDRs2BBGRka4evUqVFVVhS6JKM9wUg4REVE+S0pKwq+//oqkpCQcPnyYYZKKHY6hJCIiymcTJ06Eh4cHLl++DCMjI6HLIcpzDJRERET5aNeuXXB2dsbatWthY2MjdDlE+YJjKImIiPLJgwcP0Lx5c/Tp0wfbtm3jJBwqthgoiYiI8kFISAgaNmyIsmXL4vr161BTUxO6JKJ8w0k5REREeUwqlaJ3796Ii4vDkSNHGCap2OMYSiIiojw2ZcoUXL16FRcvXkSlSpWELoco3zFQEhER5aG9e/di+fLlWLVqFVq3bi10OUQFgmMoiYiI8sjjx49hbW2NHj16YOfOnZyEQyUGAyUREVEeCA0NRaNGjaCjo4MbN25AQ0ND6JKICgy7vImIiHIpOTkZffv2RWRkJC5fvswwSSUOAyUREVEuTZ8+HZcuXcL58+dhamoqdDlEBY6BkoiIKBcOHDiAJUuWYNmyZWjbtq3Q5RAJgmMoiYiIcujJkydo2rQp7OzssGfPHk7CoRKLgZKIiCgHvnz5gkaNGkFTUxM3b96Epqam0CURCYZd3kRERNmUnJyM/v37IywsDOfPn2eYpBKPgZKIiCibZs2ahXPnzuHMmTOoUqWK0OUQCY6BkoiIKBuOHDmCBQsWYPHixfjpp5+ELoeoUOAYSiIioix6/vw5mjRpgo4dO+LAgQOchEP0fwyUREREWRAREYFGjRpBRUUFt2/fhpaWltAlERUa7PImIqISKyZBCt/QGCRKZVBREsNUXxOaqul/NcpkMgwYMACfP3+Gp6cnwyTRNxgoiYioRPEOioLrHX+4vwqGf1gsUnfTiQAY62nAtlpZ9G9iDAtDbQDA3LlzcerUKZw8eRLm5uaC1E1UmLHLm4iISoT3YbGYdvQJrvuEQCIWIVmW+a+/r6/bmBugjXYQBvfuivnz52P69OkFWDFR0cFASURExd4+T3/McnsGqUz+3SD5LYkIkCYlwiTkDq5sXQixWJyPVRIVXfw/g4iIirW17t6YcuQJEqSybIVJAEiWAyKJMvzL2WD91Tf5VCFR0cdASURExdY+T38sO/86dyf5/9JAy86/xn5P/zyoiqj4YaAkIqJ0Zs+eDZFIpHi4ubmled3R0VHx2oYNG9Jtu3LlimLfr9tMTU3ztebg4GA4OTnBwsICampq0NDUxMC2DfBp10SEnlsHaXRYjs4rDQ+C3+Jf4Lf4Fwzq+Qveh8XmceVERR8DJRER/dD06dMhk8mELiNT4eHhaNKkCVavXg0fHx8kJCQgLjYW0qhQJHx4geiHZ5AcFZrr68gBTDv6JPcFExUzDJRERPRDT58+xZ49e767j4uLC+RyOeRyOVq3bl0whf3f1q1b4evrCyClpfTG49cwnnAUFUZshkG3qdCoYQORknKuryOXy3HdJwQ+wVG5PtePxMayJZSKDgZKIiL6LolEAgCYNWsWkpKSMt0vsy7vzERFReHvv/9GrVq1oKGhAXV1dVhaWmLGjBmIjIzMVo2vX/83TrJdu3a44JsIJRUVKOuWh2b15ijTdTJUypgq9pFGh+Gz21IEbhmF96v6wu+frvBf0QsfXcYh8u5RyGXJmV4rMeAZ2traQkNDA6amppg2bVqaz+Xjx4/o378/LC0toa+vD2VlZZQqVQpWVlZYsWIFpFKpYl9fX1/FZ9a6dWucPHkSVlZWUFNTw6hRowAAmzZtQtu2bVGxYkVoampCRUUFFStWRJ8+feDl5ZWmttTfAzc3N/zxxx8oX748tLW1YWNjg/v372frcyXKKi5sTkRE39W7d28cPnwYb9++xZYtWzBy5MhcnzMkJAQtWrTAq1ev0mx//vw5nj9/jkOHDsHDwwP6+vpZOp+xsbHi+eDBg6Fl1gCystWgWqEaVCpUg1hZNc3+sphwxD6/mmabPDEOiZ98kPjJB0lhH6DfcUy66ySF+OPjnmnA/wOnn58fFi1aBG1tbUydOhUAEBQUlK41NyoqCvfv38f9+/fx6tUrbNy4Md25vby80LVr13RDC06fPo3Lly+n2fbhwwfs378fp06dwoMHD2BhYZHufI6Ojvjy5Yvi6xs3bqBjx4548+YNSpUqlW5/otxgCyUREX1XpUqVFCFy/vz5iIuLy/U5Z82apQiTP/30EwICAvDhwwe0a9cOAPDq1SvMnDkzy+cbMmSIInwmJiYi7MVthF/dgaC90xCwZgDCLm2BXPpfK6JESw9luk+D0chtqPTXIRhPPIryg9dCom0AAIh+fB6y+Oh015HFRaKUlR0qjduHfQcPK7bv2LFD8bxChQo4fPgw/Pz8EBMTg4SEBHh5eaFixYoAUrrnw8PD0537y5cv6NWrF96/f4/IyEhMmzYNADBq1Cjcu3cPISEhSEpKQmhoKGbMmJFSZ3S0YlLUtzQ0NHD37l2EhIQohiCEhITg9OnTWf1YibKMgZKIiH5o2rRp0NLSQmBgINasWZPr8x0/flzxfOnSpTAyMkKFChWwdOlSxfZvZ5Z/T7ly5fDo0SM4OjqitI5umtfkiXGI8jyG8Gs7FdvE6tqQhn/C52OLELD2N/gvtcfHbWOQHBXy/4NkSAr7kO46Yo3S0GntCLGaFmo1a6sIsV/HbwKAnp4e3r17h549e6J8+fJQU1NDnTp1EBAQAABITk5O1zILAKVKlcLWrVtRsWJFaGtro2rVqor3tmzZMtSvXx+amprQ19fH/PnzFcc9f/48w89k0qRJaNSoEfT19dGjRw/F9tS1EuUVBkoiIvqhMmXKYPz48QCAJUuWICIiIlfnCwoKUjw3MTFRPE+9tFDqfbKiYsWK2L59Oy4+eI1yjqug23YYlA3+6wqPeXFN8fzLxc344r4NiR+9IU+IBZB+wXN5UkK6bcq6FSASp4wpTZTKoKmpCQBISPhv3/Hjx2PChAnw9PREZGQkMrohXUatvNWqVVOc7ys/Pz80a9YM+/btw/v375GYmJilcwFAjRo1FM9Tnzc+Pj7D/Ylyg4GSiIiyZMKECdDX10dYWBhOnDiRq3MZGhoqnvv5+Smep249S73Pj6QOuOqqylAtZ45SjbqibO+5iu2yuP9mZsc8c1c8L9N9GownHoXJlJNQMTT7/oX+HyYBQEVJDNH/Fz1Pbffu3YrnR44cQUJCAuRyORo0aPDdU2toaKTbduzYMcTExAAA2rRpgw8fPkAul2ep9VZZ+b9Z7RnVSZSXGCiJiChLSpUqhcmTJwNI6bbNDTs7O8XzyZMnIzAwEB8/flSc/9t9fmTZsmVo0aIFNm/eDOmXQCA5Ccnx0Yh5ckmxT+rWytTBUKSqAbksGVGPziIx6G2WricCYKqvmeFrSkr/zXfV1taGVCrFpk2b8PDhwyy/n4zOpaKiAk1NTbx58yZNlzdRYcBZ3kRElGVjxozBqlWrEBgYmKvzzJkzBxcvXoS3tzfOnj0LIyOjNK9bWFhgzpw5WT6fXC6Hh4cHPDw8Mt5BJEbpFv0UX2pUb47oh2cAAMH7Uia4iJRVIdHW/28c5XcY62tAUzXjX6E9e/ZUTJRp3759yvU0NGBkZKQYR5lVnTt3hoaGBmJjY3H27Fno6OgAgGJ8JVFhwRZKIiLKMnV19WzNvs5MmTJl4OnpiWnTpqFmzZpQU1ODqqoqatSogalTp8LT0xMGBgZZPt/AgQMxd+5ctGvXDpUrV4aKmgYglkCipQd1i6Yw7LsQGuaNFfvrthkCbauukGjpQaSkAlWj6ijbez6UdMr98FoSsQi2Vctm+vry5csxbtw4VKhQAWpqarC2tsaFCxdgZvaD7vQMVK5cGadPn0bTpk2hoaGB8uXLY8KECVi9enW2z0WUn0TyjEYLExERFWHeQVFov+raj3fMoYvjW8K8rHa+nZ+oqGELJRERFTsWhtqwMTeARJy3k1EkYhFszA0YJom+wUBJRESF1pUrVxS3Eszskdm6igu714ZSHgdKJbEIC7vXztNzEhUHDJRERFQsVdLTwBw7yzw951w7S1TSS7+8D1FJxzGURERUrI3bfBbH3iYjZfHynLdYTvypGkbbmudZXUTFCVsoiYio2Hr37h12TemPcv6XoKokyfaYSolYBFUlMZbY12aYJPoOtlASEVGxFBsbi2bNmiEqKgqenp6IgRqmHX2C6z4hkIhFSJZl/uvv6+s25gZY2L02u7mJfoCBkoiIih25XI7+/fvj+PHjuH37NmrX/m8ijXdQFFzv+MP9dTD8Q2PT3MVbhJRFy22rlsWApsaczU2URQyURERU7CxfvhwTJkzA/v378euvv2a6X0yCFL6hMUiUyqCiJIapvmamd8AhoswxUBIRUbFy8eJFdOjQARMnTsTixYuFLoeoRGCgJCKiYsPX1xdWVlZo2LAhTp8+DYlEInRJRCUCAyURERULsbGxaN68OSIiInDv3j3o6ekJXRJRicGBIkREVOTJ5XIMGzYMr1+/xq1btxgmiQoYAyURERV5q1atwp49e7B3717UqVNH6HKIShx2eRMRUZF2+fJl/PTTT/jzzz/xzz//CF0OUYnEQElEREWWn58fGjZsiPr16+PMmTNQUmLHG5EQGCiJiKhIio2NRYsWLfDlyxfcu3cP+vr6QpdEVGLxTzkiIipy5HI5hg8fjpcvX+LWrVsMk0QCY6AkIqIix9nZGa6urtizZw/q1q0rdDlEJR67vImIqEhxd3dH+/btMW7cOCxbtkzocogIDJRERFSE+Pn5wcrKCnXr1sXZs2c5CYeokGCgJCKiIiEuLg4tWrRAaGgo7t27BwMDA6FLIqL/4592RERU6MnlcowYMQIvXrzAzZs3GSaJChkGSiIiKvTWrFmDXbt2wdXVFfXq1RO6HCL6Bru8iYioULty5QratWsHJycnLF++XOhyiCgDDJRERFRo+fv7w8rKCrVr18a5c+c4CYeokGKgJCKiQikuLg42NjYICQnhJByiQo5/6hERUaEjl8sxcuRIPHv2DB4eHgyTRIUcAyURERU669atw44dO7Br1y40aNBA6HKI6AfY5U1ERIXKtWvX0LZtW4wZMwYrV64UuhwiygIGSiIiKjTev3+Phg0bwtLSEhcuXOAkHKIigoGSiIgKhfj4eLRs2RJBQUG4d+8eypQpI3RJRJRF/NOPiIgE93USzpMnT+Dh4cEwSVTEMFASEZHg1q9fDxcXF+zcuZOTcIiKIHZ5ExGRoK5fv442bdpg9OjRWLVqldDlEFEOMFASEZFgAgIC0LBhQ9SoUQMXLlyAsrKy0CURUQ4wUBIRkSDi4+PRqlUrfPz4Effu3UPZsmWFLomIcohjKImIqMDJ5XKMHj0ajx8/xo0bNxgmiYo4BkoiIipwGzZswLZt2+Di4gIrKyuhyyGiXGKXNxERFagbN27A1tYWI0eOxOrVq4Uuh4jyAAMlEREVmA8fPqBhw4aoVq0aLl68yEk4RMUEAyURERWIhIQEtGrVCh8+fMC9e/dgaGgodElElEc4hpKIiPLd10k4jx49wvXr1xkmiYoZBkoiIsp3GzduxNatW7F9+3Y0atRI6HKIKI+xy5uIiPKVh4cHbG1tMXz4cKxdu1bocogoHzBQEhFRvgkMDETDhg1hYWGBS5cucRIOUTHFQElERPkiISEBrVu3xvv373H//n2OmyQqxjiGkoiI8sXYsWPx4MEDTsIhKgEYKImIKM9t2rQJmzdvxtatW9G4cWOhyyGifMYubyIiylO3bt1Cq1atMGzYMKxbt07ocoioADBQEhFRngkMDISVlRXMzMxw6dIlqKioCF0SERUABkoiIsoTiYmJaN26Nfz8/HD//n2UK1dO6JKIqIBwDCUREeWJP/74A/fv38e1a9cYJolKGAZK+qGYBCl8Q2OQKJVBRUkMU31NaKryR4eI/rN582Zs3LgRW7ZsQZMmTYQuh4gKGLu8KUPeQVFwveMP91fB8A+LReofEhEAYz0N2FYri/5NjGFhqC1UmURUCNy+fRutWrXC4MGD8e+//wpdDhEJgIGS0ngfFotpR5/guk8IJGIRkmWZ/3h8fd3G3AALu9dGJT2NAqyUiAqDjx8/omHDhqhcuTLc3d05CYeohGKgJIV9nv6Y5fYMUpn8u0HyWxKxCEpiEebYWaJPI+N8rJCICpPExES0adMGb9++xf3791G+fHmhSyIigXAgHAEA1rp7Y9n51zk6Nvn/AXTKkScIiU7AGFuLPK6OiAqjcePG4e7du7h69SrDJFEJJxa6ABLePk//HIfJby07/xr7Pf3z5FxEVHht3boV//77L9atWwdra2uhyyEigZXoQDl79myIRKJMHzo6Ovl6fRcXF8yePRuzZ89GeHh4vl4rM+/DYjHL7VmOjpUlxiH82m4EbhkF/2X28F9mj4C1v8GhW3v0GeCAFy9e5HG1wJUrVxTfH0dHxzw/f0YcHR0V17xy5UqBXJOoMLtz5w5GjRqF4cOHY9iwYUKXQ0SFALu8BeTi4oKrV68CSAkt+R1gMzLt6BNIszFe8iu5LBlBe6ch8aN3mu3J0WFIjg7DftfX6NmtC2rUqJFXpRJRIfDp0yfY29ujYcOGWL16tdDlEFEhwUD5fw4ODnBxcRG6jDwXFxcHdXX1DF/zDorCdZ+QHJ039vVtRZhUq9IQ+j+NgkRbD8nRX5AU4oeYVzcRJSseP14uLi7F8meDKLsSExPRq1cvyGQyHDp0CKqqqkKXRESFRInu8s6q+Ph4DBo0CPXq1UOZMmWgoqICTU1N1KlTBzNnzkRMTEya/U+ePIlWrVpBV1cXSkpK0NfXR7169TBkyBB8+fJF0W37tXUSACpXrqzoVvX19QUAyOVyuLi4oGXLltDR0YGKigpMTU0xevRofPr0Kc01W7durTjew8MDffv2hZ6eHjQ0UpbySd29v2nTJsycORONaleD/7Ie+LjdCXHvHmbrM5F++aB4rlaxJpR0DCGSKEOpdFmomzWC4S/j4Kf23+QcFxcXxfVnz56t2O7r66vY3rp16zTXuH79Opo1awZ1dXWUL18ef/31F2JjYzOs59q1a+jatSvMzMxQunRpKCkpwcDAAO3bt8exY8fS7Ju6llmzZsHZ2RnVqlWDuro6LC0t4erqmmb/73V5nzt3DnZ2dihXrhxUVFRgYGCAVq1apfneEhUX48ePx507d3D48GFUqFBB6HKIqBApHk1I+Sw+Pj5dC1VSUhKePHmCJ0+e4M6dOzh37hwA4P79++jevTukUqli37CwMISFheHx48eYOnVqlq4pl8vRr18/7Nu3L812Pz8/rF+/HkePHsXNmzdhamqa7thu3bohJCTzlscpU6bgy5cviq8Tg94g+NAcGA3bCCUdwyzVJylVRvE8/Lor4v28oFrJEqoVqkHVqAagqgH318GYDcssne9bt27dQrt27ZCYmAggpZttxYoV2L9/f4b7P3jwAG5ubmm2hYaG4uLFi7h48SL27NmDvn37pjtuzZo1aT6L58+fY8CAAahcuTKaNWv23Rr//vtvzJ8/P901r127hocPH6JVq1ZZeq9ERcG2bduwfv16bNiw4Yf/bxBRycMWyv/bsWNHukk5Xyd9qKurw9XVFW/evEFUVBQSExPh4+ODevXqAQDOnz+PJ0+eAACuXr2qCJP79+9HYmIigoODcfPmTcycORNaWlpo3bo15HJ5msDx7t07yOVyyOVymJqa4siRI4ow6ejoiI8fPyI+Ph579uwBkLKY8MSJEzN8L+rq6rh69SpiY2Px8GH6lkepVIrjJ8/AeNx+aNT8fw3JUsS8uJblz0ujqjWUdP/fQiGXId7vMSJu7EHwgVl4v7o/Qk6twrsPwYhJkH7/RJmYMmWKIkwOHToUYWFhePr0qaLF9VutW7fGpUuX8OnTJyQkJCAmJgYnTpxQvL5s2bIMj4uMjMTevXsRERGBSZMmKbbv3Lnzu/Xdv39fESbFYjFWr16NkJAQhISE4MiRIxw7SsXK3bt3MXLkSAwbNgwjRowQuhwiKoQYKLNAVVUV8fHxcHBwgLGxMdTU1GBubo5Hjx4p9nn+/DkAwMzMTLFt3bp1WLJkCa5cuQIDAwPMmTMH5cqVy9I1jx49qnju4uKC8uXLQ01NDf369VNsP3v2bIbHLliwAC1btoS6uroi9KY2dOhQmNW3hkhNE5o1/wu10oigLNUGAGJlNZRzWAHthl0g0dJL+2JyEmKeXETomdXwDY3J+ATfERsbCw8PDwCASCTC8uXLoaurC0tLS0yYMCHDYypWrIgTJ06gdevW0NHRgaamJrp06aJ4/ev351t2dnbo06cPSpUqhYEDByq2fx12kJnU3ei//fYbxo4dC319fejr66N79+7o0KFDFt8tUeEWFBQEe3t7NGjQAGvWrBG6HCIqpNjl/X/fm5SzfPnyTIPMV3FxcQCArl274q+//sK///6La9eu4dq1/1r9GjRogBMnTmRp7FFQ0I/DXXR0NBISEtINjG/YsOF3j6tRowYSpTIAKcHwK7k06YfXTE2ipgW99iOg2244kkL8kRDwHDFPLyHhw0sAKRN3omPiAJROc1zqmzOlHhrw1ZcvX5CcnAwAKF26NEqVKqV4zcTEJN3+MpkMbdu2hZeXV6a1xsfHZ7g9dUuipqbmD/f/KvUY1tq1a393X6Ki6usknOTkZBw+fJiTcIgoU2yhzILdu3crnjs7OyM2NhZyuRz29vYZ7r9s2TKEhYXB09MTBw4cwOjRowGkjPObO3euYj+RSJTpNQ0N/xvLuHfvXkV3eOqHTCbL8B/4zLqFv1JWVoaKUu6+9bKE/ybHiEQiqJQxgXb9TjDstxgipf/XJJchPjYKAKCm9l9wTT2xxsfHJ925dXV1IRan1BcREYHIyEjFa35+fun2f/LkiSJMGhoa4smTJ5BKpWmOy4yysnKa95FVqVuanz59muXjiIqSv/76C7dv38ahQ4c4CYeIvouBMguUlP5ryNXS0oJIJMLx48dx6tSpdPtevXoVCxcuxLNnz2Bqaopu3bqhW7duitf9/f+7i4y+vr7i+ePHj9O03HXv3l3xfOrUqbh69Sri4+MRERGBK1euYPDgwYqgmhOm+prIenxKL+bldQRuHYNIz+NI/OwLuTQRssQ4xDy7Ark0AQAg1iiNhtVMU66XavLQpUuXEBcXh4iICMybNy/duTU0NNCiRQsAKa2ZEyZMwJcvX/D8+fMMx0Km/v5IJBJoaWkhIiICf/75Zy7e4fd1795dEUB37tyJdevWITQ0FGFhYThx4oRikhZRUeXi4oK1a9di9erVaN68udDlEFEhx0D5fxlNyvm6hE/Pnj0V+w0ZMgTq6uqwt7dHxYoV053n/fv3mD59Oho2bKhYYqh9+/aK1zt37qx4nnqmZLdu3SAWixXBy97eXjFe0tfXF61bt4a6ujp0dHRga2uL7du3Z7qETlZoqirBWO/7LZk/kvTZF18ubcbHrWPgv8we71f0QujpVYrXq3RwhJZaSgtgo0aNFN3LDx8+hL6+PgwMDPD48eMMz7148WKoqKgAADZv3gw9PT1YWlpmeEeh6tWro1atWgCAwMBAVK5cGfr6+mmGG+S1Bg0aYMaMGQCA5ORkjBkzBgYGBtDX14ednV2+3CWIqKB4enri999/x5AhQzgJh4iyhIEyCyZMmIC5c+fC1NQUqqqqqFu3Lo4ePapoRUutYcOGGDp0KGrXrg09PT1IJBJoa2ujadOm2LRpE8aMGaPYd9SoURg9ejSMjIwUXbxfiUQi7N69G7t27YKtra1iTcty5cqhSZMmmD59+g/Hdf6IbbWyEItz1k6pXrkhdGwHQd2sEZR0ykOkqgmIxBBrlIZa5QYw6D4N2vqGuHjxIuRyOSQSCU6cOIFOnTpBR0cHampq6NWrV4atvABgbW2NCxcuoGnTplBVVUXZsmUxZswYbN26Nd2+X8/drVs36OrqolSpUujRowcuX76co/eWVXPnzsXZs2fRpUsXlC1bFkpKStDT04ONjU2Gk6GIioLg4GDY29ujXr16WLduXbaGghBRySWSp+5npRLFOygK7VflXyue1tWVeHbrEiwtLeHk5IT+/fv/cHwnEQknKSkJ7dq1w6tXr3D//n0YGRkJXRIRFRFsoSzBLAy10dxMHyK5LE/PKxGLYGNugCceF+Du7g4LCwuMGDEClSpVwtSpUxEQEJCn1yOivDFhwgTcvHkThw4dYpgkomxhC2UJFhYWhh6/Dceb6v0gVlYBIII0PAgfNgz57nGGfRdCzaROpq+rKolxcXwrVEo1RvPt27dYu3Yttm7dipiYGPTs2RPjxo1D06ZN8+rtEFEu7Ny5Ew4ODli3bh1GjRoldDlEVMSwhbKEevbsGRo3bownt69gcF1tIFdzvtOaa2eZJkwCQJUqVbBixQoEBARg5cqVuH//PqytrdGkSRPs2bNHcVccIip49+/fx/DhwzF48GCMHDlS6HKIqAhiC2UJdOLECfTr1w+mpqZwc3ND5cqVsdbdG8vOv871uSf+VA2jbc1/uJ9MJsPp06fh7OyMixcvokKFChg1ahRGjBgBAwODXNdBRFkTHBwMKysrlC9fHlevXk2zZiwRUVYxUJYgcrkcixYtwowZM9CtWzfs3LkTWlpaitf3efpjltszSGVyJMuy/mMhEYugJBZhrp0lejcyznZdT58+xerVq7Fr1y4AQP/+/eHk5MQ70BDls6SkJLRv3x4vXrzA/fv3M1wKjYgoKxgoS4jY2FgMHjwY+/fvx6xZszBz5sx0SxUBwPuwWEw7+gTXfUIgEYu+Gyy/vm5jboCF3Wun6+bOrpCQEGzevBnr1q3Dhw8f0KZNGzg5OeHnn3+GRCLJ1bmJKL1x48Zh3bp1uHz5MmxsbIQuh4iKMAbKEsDf3x/dunXDq1evsHPnTvTo0eOHx3gHRcH1jj/cXwfDPzQWqX9IRACM9TVgW7UsBjQ1hnlZ7TytNykpCYcPH4azszNu374NMzMzjB07FoMGDUpzX28iyrldu3bht99+w9q1a3N11y0iIoCBsti7fv06evToAU1NTRw/fhx16mQ+OzszMQlS+IbGIFEqg4qSGKb6mtBUVfrxgXngzp07cHZ2xsGDB6Guro7Bgwdj7NixMDMzK5DrExVHDx48QPPmzdGnTx9s27aNi5cTUa4xUBZjmzdvxujRo9GsWTMcOnSoSE92+fDhA9avX4+NGzciLCwMXbp0gZOTE2xtbfnLkCgbPn/+DCsrK5QtWxbXr1/nJBwiyhNcNqgYSkpKwpgxYzB8+HAMGzYMFy5cKNJhEgCMjIywYMECvH//Hps2bcLbt2/Rtm1b1K1bF1u3bkVcXJzQJRIVelKpFL1790ZcXByOHDnCMElEeYaBspgJCQnBTz/9hI0bN2Ljxo1Yt24dlJWVhS4rz6irq2Po0KHw8vLCpUuXYGpqimHDhqFSpUqYMWMGAgMDhS6RqNCaNGkSrl+/joMHD6JSpUpCl0NExQi7vIsRLy8vdO3aFTExMTh8+HCJmbXp4+ODNWvWYNu2bYiPj8evv/4KJycnNG7cWOjSiAqN3bt3Y+DAgVi9ejXGjh0rdDlEVMwwUBYTR44cwW+//QYLCwscO3YMJiYmQpdU4CIiIrB9+3asWbMGb9++hbW1NZycnGBvb1+sWmmJsuvhw4do1qwZfv31V7i4uHDcMRHlOQbKIk4mk2Hu3LmYM2cOfv31V2zbtg2amppClyWo5ORknDx5Es7OznB3d0fFihUxevRoDBs2DPr6+kKXR1SgQkJCYGVlBQMDA1y/fh3q6upCl0RExRADZREWHR0NBwcHHDlyBAsWLMDUqVPZ8vANLy8vODs7w9XVFWKxGAMGDICTkxMsLS2FLo0o30mlUnTo0AFPnjzBvXv3YGyc/TtZERFlBQNlEfXu3Tt07doV7969g6urK+zs7IQuqVD7/PkzNm3ahHXr1uHjx49o164dxo0bh06dOmV4xyCi4uCvv/6Cs7MzLl68iNatWwtdDhEVY/xNWgS5u7ujUaNGiI2Nxe3btxkms6BMmTKYPn06fH194erqioiICPzyyy+oXr061q5di6ioKKFLJMpTe/bswYoVK7B8+XKGSSLKd2yhLELkcjnWr1+vWNB7//790NPTE7qsIkkul+P27dtYtWoVDh8+DE1NTQwdOhRjxoxB5cqVhS6PKFcePXqEZs2aoWfPntixYweHwhBRvmOgLCISExMxZswYbN68GePGjcPSpUuhpFQwtz8s7t6/f6+4C09ERATs7Owwbtw4tGzZkr+Iqcj5OglHX18fN27c4CQcIioQDJRFQHBwMHr06IG7d+9iw4YNGDRokNAlFUuxsbHYvXs3nJ2d8fz5c9StWxdOTk7o27cv7yhCRYJUKkXHjh3x+PFj3Lt3r0QuH0ZEwuAYykLu4cOHsLKygre3N65cucIwmY80NDQwfPhwPH36FOfPn0fFihUxePBgGBsbY+bMmfj48aPQJRJ919SpU3HlyhUcOHCAYZKIChQDZSG2f/9+NG/eHIaGhrh37x6sra2FLqlEEIlEaN++PU6ePIlXr16hd+/eWLFiBUxMTDBw4EDcv39f6BKJ0tm3bx+WLVuGZcuWwdbWVuhyiKiEYZd3ISSTyfD3339j4cKF6N+/PzZv3sxxUAILDw/Htm3bsGbNGvj6+qJ58+YYN24cunXrxrGsJLjHjx/D2toa9vb22LVrF8f+ElGBY6AsZCIjIzFgwACcPHkSS5YswYQJE/jLoRBJTk6Gm5sbnJ2dcfXqVRgbG2P06NEYOnQoZ9yTIEJDQ9GoUSPo6Ojgxo0b0NDQELokIiqBGCgLER8fH9jZ2eHDhw/Yu3cvOnfuLHRJ9B2PHj2Cs7Mz9uzZAyUlJfz222/4448/UKNGDaFLoxJCKpWic+fOePDgAe7duwdTU1OhSyKiEopjKAuJCxcuoHHjxkhOTsadO3cYJouAevXqYfv27fD398fkyZNx9OhR1KxZEx07dsSZM2cgk8mELpGKuenTp+PSpUs4cOAAwyQRCYqBUmByuRwrV65Ex44d0aRJE9y5cwfVq1cXuizKBkNDQ8ycORN+fn7YuXMnPn/+jM6dO6NmzZpYv349oqOjhS6RiqH9+/fjn3/+wdKlS9GmTRuhyyGiEo5d3gJKSEjA77//DhcXF0ycOBGLFi2CRCIRuizKJblcDg8PDzg7O+PIkSMoVaqU4i48XMqF8oKXlxesra3RrVs37N69m+OsiUhwDJQC+fjxI+zt7fHw4UNs2bIFAwYMELokygd+fn5Yt24dNm/ejMjISHTv3h1OTk5o0aIFQwDlSFhYGKysrFCqVCncvHmTk3CIqFBgoBSAp6cnunXrBgA4duwYGjVqJGxBlO9iYmKwc+dOrF69Gi9fvkSDBg3g5OSE3r17Q1VVVejyqIhITk5G586dce/ePdy7d4/3nSeiQoNjKAvY7t27YWNjA2NjY9y7d49hsoTQ1NTEyJEj8ezZM5w5cwZly5aFg4MDTExMMGfOHAQFBQldIhUB06dPx8WLF7F//36GSSIqVBgoC0hycjImTpyIgQMHom/fvnB3d0f58uWFLosKmFgsVswCf/HiBezt7fHPP//A2NgYjo6OePjwodAlUiF14MABLFmyBEuWLEG7du2ELoeIKA12eReA8PBw9O3bF+fPn8fy5cvh5OTE8XOk8OXLF2zZsgVr166Fv78/WrZsCScnJ3Tt2pWTtAgA8OTJEzRt2hR2dnbYs2cP//0gokKHgTKfvXr1CnZ2dvj8+TP279+P9u3bC10SFVJSqRTHjx/HqlWrcOPGDZiYmGDs2LEYMmQIdHR0hC6PBBIWFoZGjRpBS0sLN2/ehKamptAlERGlwy7vfHTmzBk0btwYEokEd+/eZZik71JSUkKPHj1w/fp13Lt3Dy1btsTUqVNRsWJFjBkzBq9fvxa6RCpgycnJ6NevH8LDw3Hs2DGGSSIqtBgo84FcLsfSpUvx888/o1WrVrh9+zbMzc2FLouKkIYNG2Lnzp3w9/fHX3/9hYMHD6JatWr4+eefcf78ebBjoWT4+++/ceHCBezbt4+TcIioUGOgzGNxcXEYOHAgJk2ahKlTp+LYsWMoVaqU0GVREVWuXDnMmTMHfn5+cHFxQWBgIDp06ABLS0ts3LgRsbGxQpdI+eTQoUNYtGgRFi9ezN4NIir0OIYyDwUEBKB79+549uwZtm/fjt69ewtdEhUzcrkc169fh7OzM44dO4bSpUtj2LBhGD16NIyNjYUuj/LI06dP0bRpU/zyyy/Yu3cvJ+EQUaHHQJlHbt26BXt7eygrK+PYsWNo0KCB0CVRMefr64u1a9diy5YtiI6Ohr29PcaNGwdra2sGkCLsy5cvaNSoETQ0NHDr1i2OmySiIoFd3nlg+/btaN26NczNzeHp6ckwSQXC1NQUy5YtQ0BAAJydnfHo0SM0b94cjRs3hqurKxITE4UukbIpOTkZ/fv3R1hYGCfhEFGRwkCZC1KpFOPGjcPgwYPh4OCAS5cuwdDQUOiyqITR0tLC6NGj8fLlS5w6dQq6uroYMGAATE1NMX/+fHz+/FnoEimLZs6ciXPnzmHfvn2oUqWK0OUQEWVZie/yjkmQwjc0BolSGVSUxDDV14SmqtIPjwsLC0Pv3r3h7u4OZ2dnjBo1it2MVGg8f/4cq1evxs6dOyGTydCvXz84OTmhbt26QpdGmTh8+DB69uyJxYsXY/LkyUKXQ0SULSUyUHoHRcH1jj/cXwXDPywWqT8AEQBjPQ3YViuL/k2MYWGone74Z8+eoWvXrggPD8ehQ4fQunXrgiqdKFvCwsKwefNmrF27FgEBAWjdujWcnJzQpUsX3oWnEHn27BmaNGmCzp07Y//+/fzjlIiKnBIVKN+HxWLa0Se47hMCiViEZFnmb/3r6zbmBljYvTYq6WkAANzc3NC/f39UrlwZx48f59pwVCQkJSXh6NGjcHZ2xs2bN1G5cmWMHTsWgwcPRunSpYUur0QLDw9H48aNoaamhps3b0JLS0vokoiIsq3EBMp9nv6Y5fYMUpn8u0HyWxKxCEpiEWZ3scTbC7vw999/o1u3bti5cyf/4aciydPTE87Ozti/fz/U1NQwaNAgjB07FhYWFkKXVuLIZDJ06dIFN2/exL1792BmZiZ0SUREOVIiAuVad28sO5/729Z9uboTf3aoib///htiMeczUdEWGBiIf//9Fxs2bEBoaCh+/vlnODk5oW3btuxyLSB///03FixYgNOnT6Njx45Cl0NElGPFPlDu8/THlCNP8ux8S+xro3cjLiBNxUdcXBz27t0LZ2dneHl5wdLSEk5OThgwYADU1dWFLq/YOnr0KOzt7bFo0SJMmTJF6HKIKJtyOqm3uBIkUL59+xbz58/HpUuX8PHjR6iqqkJXVxdmZmaoU6cOFi9enO1fZFeuXIGtrS0AwMHBAS4uLngfFot2K68iQSrLs9pVlcS4OL6VYkwlUXEhl8tx5coVODs7w83NDXp6ehg+fDhGjRqFihUrCl1esfL8+XM0adIEHTt2xIEDB9giTFRE5HZSb3FW4IHy7du3aNSoEcLCwjLd5/PnzzAwMMjWeTMKlAO33sHNt6HZGjP5IxKxCM2q6GPXkCZ5dk6iwubNmzdYu3Yttm7diri4OPTs2RNOTk5o2rSp0KUVeREREWjUqBFUVFRw+/ZtjsUmKgLyYlJvcVfgAwFXrlypCJPTpk3D58+fERcXh5cvX2Lnzp345Zdf8mQ5E++gKFz3CcnTMAkAyTI5rvuEwCc4CgAQGxubp+cnKgzMzMywcuVKBAQEYPny5fD09IS1tTWaNm2KvXv3IikpSegSiySZTIYBAwbg8+fPOHbsGMMkURGwz9Mf7VZexc23oQDww1zx9fWbb0PRbuVV7PP0z/caC4MCD5SvX/83OaZz584wMDCAmpoaqlWrhoEDB+LEiRPQ1dUFkLI2W69evVCtWjXo6upCSUkJOjo6aNGiBbZt24bvNa7+7bwdH12c4L/MHh82DkPk3WNp9k/87IfPRxfhw6YReL+yN/yW2MF/ZW982j0J0Y/Pp9k33s8Lfot/gd/iXxByciVin1xEs0YNoKKign/++QcAsGDBAtjY2KBChQpQV1eHmpoaqlSpgiFDhsDX1zdNba1bt4ZIJIJIJMKtW7fg4OAAfX196OjooFOnTnjz5k1efNREuVaqVCn88ccfePXqFdzc3KClpYV+/fqhcuXKWLhwIUJCQoQusUiZM2cOTp06hT179sDc3FzocojoB9a6e2PKkSdIkMqy3UCVLJMjQSrDlCNPsNbdO58qLDwKfPSosfF/E1o6dOiATp06wdraGtbW1rCysoKysrLidW9vbxw6dCjN8REREfDw8ICHhweCgoIwderUdNc4e/YsgoJ2KL6WfvmIL5e3QKKlC82arf6/LRCxrzzSHCdPiEFCwHMkBDxHcmw4Slv/mu7ccW88EfP0UrrtBw8exOPHj9Nse/fuHd69e4czZ87g6dOn0NPTS3fczz//jC9fvqSpvUuXLnjy5AkXnqZCQyKRoEuXLoqfzdWrV2PevHmYN28eBgwYACcnJ9SqVUvoMgu1Y8eOYe7cuViwYAE6deokdDlE9AP7PP3zZIUYAFh2/jXKaKkW60m9Bd5C+ccff0BVVRUAEBMTg0OHDuGvv/5Cs2bNUL58eSxatEjROli7dm2cOnUKHz58QHx8POLi4nDz5k1oaKSMR1i+fHmGrZRBQUHQbTMUlcYfgG77EYrt0U/+C4LKZUxRttcsGI3eAeMJR2E84QjKDVwKkXJKbd+2aH4li4uEtlVXVBq7G/6BQXBwcAAAzJ49G15eXggLC0NSUhKCgoIwaNAgAMDHjx/h6uqa4edhZGSEly9fIiAgADVq1AAAvHjxAp6entn7YIkKSO3atbF582a8f/8ef//9N06fPo3atWujXbt2OHHiBGSyvJsEV1y8ePECv/32G+zt7TP8I5iI8tbs2bMVPYGOjo5pXtu2bRskEglEIhHU1NRw6tSpdMe/D4vFLLdnGZ77217Lr0JOrlRsj/fzSnfcTLdneB/2/WFyqXswv+3dLOwKPFDWrl0bDx48QM+ePdONHwoNDcW0adOwbt06AEC5cuVw+/ZtdOrUCfr6+tDQ0ECzZs0U4xZDQ0MRHByc7ho1atVBqcbdIFbVgFbtdort0oj/9pVo6iLhwysEH5iF98594b+sBz7tmgh5UgKAlOAoiw1Pd24l3fLQbTsEYk0dRMpVFXfK0dfXx/Tp02FpaQkNDQ0YGhpi+/btiuOeP3+e4eexYMECVKtWDUZGRujcubNie1H7QaKSx8DAANOmTYOvry/27NmD6Oho2NnZoWrVqli9ejWioqKELrFQiIiIQLdu3VCpUiW4uLhwRjeRgNavX4+hQ4dCJpNBXV0dbm5u+Pnnn9PtN+3oE0jzeA6GVCbHtKN5t4xhYSPIgkk1a9bEwYMHkZCQgAcPHuDKlSvYsGED/P1TBq7u27cPY8aMQZ8+fXDy5MnvnisuLi7dNlOzqvga30TKaortcmmi4nnI8SWIe/P9VkB5UmK6bSqGZhCJUnJ4i1atoS+Pgrq6Op49e/bdMZ2ZTd752ioJAJqamorn8fHx362NqLBQVlZG37590bdvX9y+fRvOzs7466+/MGPGDAwZMgRjx45FlSpVhC5TEDKZDAMHDkRQUBA8PT2hrV2ylhEhKkxWrlyJP//8E0DK79sTJ04oVodJ7euk3uwy+GU8DH4Zn+nrqSf1mpctfv8WFHgLZUREhOK5qqoqrK2tMXXqVOzZs0exPTQ0FOHh4Yowqaqqihs3biApKQlyuTzDsYipqaj8Nw4zo9YAWXz0f2FSogzDAf/AeNJxmEw5CbHa97/JIiVVxfPhQwbD3t4eycnJijCpoaGRZhzoVzt37oShoSFq166dZqzlxo0bsXnzZhw/fhwBAQGK7cV8vXkqpr7OAn/37h3GjBmDXbt2wdzcHF27doW7u3uJ+7meO3cuTp48CVdXV97akkhAixYtUoRJbW1tnD17VhEmfX19Fd3MrVu3husdf0jEKdkhYP1gRTf2j2TW5R1xcz8+7Z6EgLW/wX+ZPapXNMh00m5G3rx5A2NjY4hEIqioqGD//v05+ATyX4G3UI4dOxafP39G//79FbOiv3z5kiZQWlpaQklJCSKRCHK5HGKxGNra2oiLi8OyZcu+u4YlAGipKkEEINNfXWIJ8P89RCIxxCrqkCclIOLuUcjis9ZNJwIwc/xIaKoqQS6X48WLFwCAvn37wtnZGY8ePUK/fv0Ura7W1tbo3LkzgoODsW/fPsV5tm3bhvDw8HS/aIcPH47Zs2ejbNmyMDQ0RNmyZTN9lClTJsMQSySUihUrYuHChfj777/h6uqKVatWoU2bNqhTpw6cnJzQr18/qKmp/fhERZibmxvmzJmDefPmZdilRkQF48SJE9ixI2WibunSpXH27Nnvrqnr/io4T5ccjHl5A0nB7xRfJyNrk3aBlJVx2rRpgw8fPkBDQwNHjhxBhw4d8qy2vFTggVImk+Hs2bM4e/Zshq+rq6tj6tSp0NLSQocOHXD27FnExcWhbt26AICyZctCR0cH4eHhmV5DSSKGsZ4G/DIZ/CpWUYdalQaIf3sfcmkCPm4bm7JdQwdiVU3IEmJ++D6M9TUUt1iyt7fHihUrIJPJsHXrVmzduhUAULVqVcX+VatWxYwZMwAAXl5euHr1KgDgwYMHqFixIkJDQzF79mxs2LABANCrVy9UrlwZwcHBCA4OxosXL3D16lUEBwcjOjo6XT26urrfDZ2pg6mOjg7HcVGBUFdXx9ChQzFkyBBcvnwZq1atwtChQzF58mT8/vvvGDlyJCpUqCB0mXnu5cuXGDBgALp3745p06YJXQ5RiZa6EerUqVPfDZPJMjkCfjBxJrt0WvSDkk55SEoZpDRgxUWhdcQF7Nq5QzFpd+zYsemOe/HiBYYMGYKPHz9CV1cXJ0+eRLNmzfK0trxU4IFy/PjxMDExwfXr1+Hn54eQkBAkJSWhXLlysLGxweTJk1GnTh0AwK5duzBhwgScPn0aMTExaN68OZydndGpU6fvBkoAsK1WFrvu+GX6V4bBL3/iy+VtiHt7D/KkeKga1YReu+EIOjAL+EGglIhFsK1aVvG1tbU1Dh48iDlz5uD169cwNDTEiBEjUK5cOQwePPiHn4mSkhIMDQ1haGio2PbTTz+lm5n2VWxsLD5//qwIm0FBQYrnXx8+Pj6K58nJyemu96PwmfrB+zlTbolEIrRt2xZt27aFt7c31qxZg1WrVmHx4sXo3bs3nJyc0KhRI6HLzBORkZHo1q0bKlasiB07dkAsLvCRRUSUiTlz5uD48eOZ/l6LTUjKvHczh8Tq2gi/thOJn3yQHBsJyKTYler1zCbt9urVCzExMShXrhzOnz+P2rVr53FleUuQe3kXBO+gKLRfdS3fzn9xfMsiMahWJpMhPDw8XeDM7JF6TcyvtLS00rVyZvbQ19fn+pmUJREREdi+fTtWr16Nd+/ewdraGuPGjUP37t2L7BAOmUyG7t2748qVK/D09EzTS0FE+U8mkyEyMhKzZs3C6tWrAQBVqlTBp0+fFJNjK1SogGbNmiEqKgpfvnzB58+f8e5dSpe0SEUdxn8eVJwvYJ0DkqNS7pBjMiVlXke8nxeC9qb0PGjWaquYiBNycqVinWrDvguhZlIHCYGv8GnXRECe+XJqX28XDaQsG/S1B/Orli1b4uzZs4W+cUeQWd4FwcJQGzbmBvl2L++iECYBQCwWQ09PD3p6eqhevfoP909MTEzT+pnR4+HDh4qW0YSEhDTHi0QiGBgYZLn7XUtLi93vJVTp0qUxbtw4jB07FidPnoSzszN69+6NihUrYvTo0Rg2bBj09fWFLjNb5s+fjxMnTsDNzY1hkiiHpFIpwsPD8eXLF8V/Uz++ty0iIiLdWrhv374FAMW8jMDAQFy4cAGtWrVCrVq1oKKiohhuZlShvOI4WWIckqPTN7JkR8zza4owqWnZGrrthkOiXgr9NJ9h0d+Tv3tsu3btcPHiRVy7dg1du3aFm5tboR57XmwDJQAs7F4b7VZezdNAqSQWYWH3wt3snBsqKiowMjKCkZHRD/eVy+WIjo7+bvgMCgrC06dPERwcjJCQkHSTj9TU1LLc9V6mTBmoqKjk11sngUgkEnTt2hVdu3bF48ePsXr1asyePRtz587FwIED4eTkhJo1awpd5g+dOHECs2bNwty5c/HLLz+eEUpUnCUkJGQpAGa0LbM1bMViMXR0dKCrq6t46Ovrw8zMLM02XV1duLm5Yffu3QCAPn36YPfu3Xj69CnatWuHkJAQRERE4PPnz9i1axe0tbXh4uKC+Ph4hAZ9hF74J0hKlUH41Z3fbVnMCpH4vx47kUQFIiUVJAW9xf6rm3547IYNGzB58mQcPnwYFy5cQLdu3XD8+HHFzWEKm2IdKCvpaWCOnSWmHMm7hUTn2lmikp5Gnp2vKBOJRNDW1oa2tjbMzMx+uH9ycrJiMfrMHq9evcL169cRHByc4T8qOjo6GbZ0ZvTQ0dHh+LUipm7duti6dSsWL16MjRs3Yt26ddi0aRPat2+PcePGoWPHjoXye/rq1SsMGDAA3bp1w/Tp04UuhyjX5HI5YmNjcxwKM1ojGkhZt/bb8GdkZARLS8t0278Nj9ra2lnu0Xr27L+73KiqqkIikaBu3bpwd3dH27ZtERwcjFu3bqFdu3Y4f/48Bg4ciM2bNyMuLg4fNg2HSKIMebIUkCgBydIcf44a1awR6XkMkMsQ7XUe0V7nASBLPRgSiQR79uxB165dcfbsWZw7dw729vY4evRooWxcKdaBEgD6NDJGSHRCntyPc+JP1Yr1fTjzm0QiUYS9rIiLi/vh5KO3b98qnkulaf+nV1JSQpkyZbLcAvr1lp4kvDJlymDGjBmYNGkSDh48iFWrVuHnn39G1apVMXbsWDg6Oqa701Zei0mQwjc0BolSGVSUxDDV11Ss7JDa10k4FSpU4CQcKlRkMplinGBOQmFSUlKG51VXV08X/qpUqZJuW0ahUF1dXdBhTrVq1cLVq1fRpk0bfPz4EZ6enmjbti2OHj0KsVgMNzc3fA79AqVyFiht0x8hJ1YgOTL9HfmyStWoBsp0m4LwG3sg/RIIiaYOWtr1xQDbulmatKuiooIjR46gU6dOuHr1Kk6fPo0ePXrg8OHDhS5UFttJOd/a5+mPWW7PIJXJs9UFLhGLoCQWYa6dJcNkISaXy7M1+SijtUxTTz760UNfXx9KSsX+77FCQy6X49atW3B2dsbhw4ehpaWFIUOGYMyYMYrbn+YF76AouN7xh/urYPiHxaaZ7SkCYKynAdtqZdG/iTEsDLUhk8nQo0cPXL58GXfv3kW1atXyrBYiIKVnJ3Xoy04oDA8PTzee8Cttbe0fhr+Mtuno6BTaLte8wkm9OVNiAiWQcrP3aUef4LpPCCRi0XeD5dfXbcwNsLB7bXZzFzNJSUk/nHyUumX021thikQi6Ovrf3fCUepHdrpq6Pvev3+v6AqPiIhA165d4eTkhJYtW+b4M87pvw0VPlzFP7Mmw83NDV26dMnpW6JiLjExMcutgt9ui4yMzPCcIpEoSwEwo22lS5fmH8Q/MHDrnXyb1LtrSJM8O2dhUqIC5VeKVojXwfAPzaAVQl8DtlXLYkBT42L5VwRlj1wuR0xMzA9D59fnISEh6VoFVFVVszX5qLi3AOSFmJgY7N69G87Oznjx4gXq1asHJycn9OnTJ1szIXPaeyEGIE1KgI36R7jOG52Dd0BFhVwuR1xcXI5D4dflar6lpKSUpW7izMYTcnhF/nkfFot2K68iQZq7STmpqSqJcXF8q2LbQFUiA2VqWR0nRZRVycnJCAsLy3L3e0YtEKVLl/7hmp9fH7q6uiX6F4tcLseFCxfg7OyM06dPo2zZsoq78JQrV+67x651987d+Gq5HBCJMOGnqhhjy3t1F2ZyuTzNeMLshsLExMQMz6uurp7jlkINDQ32XBRi+zz983RS7xL72sV66FyJD5REQouPj0/X/Z7RBKSvj28Hykskku9OPvo2mBbnyUevXr3CmjVr4OLigsTERPTp0wdOTk5o2LBhun35y6LoSU5ORkRERI7HE35717CvtLW1cxQKdXR0CvW6gJR7uf6j8/8m/lQNo23N86CiwouBkqgIkcvliIiIyHLrZ2hoaLpzaGpqZrn73cDAoEiOtQoPD8fWrVuxZs0a+Pn5oUWLFnByckK3bt2gpKTE7iwBJSUl5biVMCIiIsNzfh1PmNNQWBR/xqngcFJv1jBQEhVjSUlJCAkJyfLko2/XjhOJRNDT01O0dAYHB6e57+yUKVPwyy+/KAKok5MTduzYAQD4999/8fvvv+f5e7py5QquXLkCAOjWrRvq1auX5nVTU1P4+fkp3r+bmxucnZ1x7do1GBsbY8yYMbhfyhqe/pGFYsC9r6+v4rZr9erVQ7du3fKspvySm/GEMTExGZ5TSUkpw/CXlVBYqlSpEj3sg/IfJ/X+GAMlESn8aPLRrVu3FPe8zYhYLFZMSKpZsyasrKwy7YLP6eSj2bNnY86cOQCA7du3w9HRMc3rqQNl6n/eHj58CGdnZxw8dx1lHFdn+7pZld0lQa5cuQJbW1sAae/pm5++3uUqp6Hw21uufqWmppbj8YSampocT0iFHif1Zo7t/ESkoKmpicqVK2e6tmPqMPfV4sWL0aRJEwQHB2P58uW4e/cugJQFed+8eYNbt24hODg4w+7K0qVLZ7n7XU1NLVeLmdevXx8uLi4ou98TBx8FQY68Dy8SsQi7b/tjtp1lnp/7WzKZLM14wh+FwpCQEERGRiq2ZTaeUEtLK13Yq1atWpZCIccTUnFnYaiN2XaWmA1LTur9BlsoiSjLUgdKiUSC5ORkVKlSBS9fvoSysjIcHR0z7PL28fHB/PnzcenSJXz69AnKysowMjJC3bp1YWpqqpiU9P79+zS3TEtNJBKluxd8ak5OTujbty969OiBDx8+AAD8/PwwadIknD17FsrKymjTpg38q/fGx8T/WkblcjlinlxCtNcFJH72hTwpARItPaibN4JOsz6QaOkq9o19dRNRj88hKcQfsvhoyKWJEKtrQ7V8VZRqbA8141ow0dfA1Qm2iIiIwLRp03DmzBl8+PABEokEBgYGsLS0xMCBA9GvXz+0atUK165lvIBy/fr10bZtW3z58gUfPnyAl5cXQkJCMp1t/C1NTU3o6+sjNDQUsbGxqFevHtq2bYtly5YBAAwMDPD3338r7nFcunRpdOnSBStWrMj3uxARUTEkJyLKolmzZskByAHI+/XrJ1dVVZUDkK9fv14ul8vlDg4Oitf//fdfuVwul9+6dUuupaWl2P7to1evXnKZTCaXy+Xyd+/eKbbr6OjIxWKx4uumTZtmeo7MHhKJJN02tcr15SZTTspNppyUG08+Ideo0TLz47X05Ea/b1Xsr21ll/n1RGK5Yf/FcpMpJ+RbXHbJ69Spk+m+Ghoack1Nze/WrqqqKjc3N5fXqFEjw/fx9dGnTx/5vXv35G/evJG7ubkpthsYGKTZb9asWXK5XK74Wl1dXfH9S/0YPny4ID9bRFS0cRQzEeVIpUqVMHLkSADA/Pnz003o+WrIkCGIjo4GAEydOhXh4eG4f/8+KlWqBAA4ePAgDh06lO648PBw9OrVC+/fv0dkZCR27NgBuVyOWbNmKfbZvn075HI5kpKS8OnTJzx+/BiGhoaK142MjNCnTx/Y2toqZvLGv3uI5OgvAFJaHGNfpLQQatZuh4pjdsF4wlEY2E0EACRHh+GL+zbF+TSqNYfhgKWoOHY3jCceQ6XxB6DXYVTKi3IZojzdAIgwctJMeHl5AUhZp9DKygodOnSAnZ0d2rdvjzZt2mDu3LnYtm0b5s2bpzh/z549ERkZCZlMhvj4eHh7eytagnV0dHDx4kXEx8fD398fNjY2AID9+/dDVVUVVapUgbb2f2O2QkJCMG7cOAQFBSE0NBQODg5pPt+4uDh0794dnz9/xq1btxTjWXfu3PndlmAiooyU3M5+Isq1adOmYcuWLQgMDMSaNWvSve7j46OYFW5gYIB58+ZBIpGgQYMG+PPPPzF+/HgAgJubG3r16pXm2FKlSmHr1q3Q1NQEgDRh6VtKSkowNDSEoaFhmnF8J06cQJ06dQCkhLXDhw8DAKQRQZBo6SLO+5Zi35gnFxHz5GK6c8e9e/DfdbQNEHFzP+L9vSCNCgWS064JmhjqDwC4duMmRv7aCY8ePYKysjKaNm0KS0tLVK9eHY0aNVK8JwCKGetASjd16vfp4+ODp0+fAkgJ2O3atUtXn1wux7lz51CrVq00283NzbF8+XLF7Gc9Pb00r4vFYqxfvx66urowMDBArVq1cP/+fcTHxyMoKOiHi8ITEaXGFkoiyrEyZcooQuGSJUvSTbwJCgpSPK9YsSIkEonia1NT0wz3+6patWppgldO1KhRQ/E89bnk0pRxiMkx4T88hzwxDnJpEmQJsfi0eyKivc5DGv4pXZgEAHlSynm1NdWxbds21KlTB5GRkVi7di1GjhwJW1tblClTBitWrMhS/Rl9LhkJCQlJt61+/frfXUqnXLly0NX9b3xo6s/n23vXExH9CFsoiShXJkyYgPXr1yM0NBQnTpxI81rq7ueAgAAkJycrQqWvr2+G+32V2R19srO0jLKy8nePk2jqKJ4b2E2EZs1W6faRy+UQiUSIe3sfydFhKec1MEaZnjOhVNoQSZ/98HHbmP+uA6TM9qxQH48fP0ZAQACeP38OHx8frF69Gq9evcKECRPQp08fVKhQ4bvvJ/XnUr16dbx48SLD/TLqov7RHZFSfzZA9j5XIqJvsYWSiHKlVKlSmDx5MgCkW4rG3Nxc0UoYEhKCWbNmISIiAo8ePcLKlSsV+9nZ2WX5evr6+ornT58+hVQqzXHt6hbWiudfru5EvP8TyKWJkMXHIN7PCyGnViHs/L8pO4j/a12FWAKxshqSY74g/OqONOc01teApqoSpk2bhqNHj0IqlaJly5b49ddfYW6ecus1uVyOgICAdO/H29s7zcLf5ubmiq7sly9fYsKECfj48SOSkpLw9u1brF+/HnXq1FGsu0lEJBQGSiLKtTFjxqBChQoZvrZlyxZFa9mCBQugo6OD+vXrw98/Zbyhvb09evbsmeVrWVv/FwKXL18OZWVliESiNC2eP5bSoqdRrRk0/t8qmRwRhKA9U+G/zB7vV/VG0N5piHlyEfKklEW81SrWgEQzpYs4KfgdAtYMwIe1vyHpS6DirCIRYFu1LADgwIEDsLe3R+XKlaGuro4yZcrg1KlTAFK6/7+O7TQ3N0eZMmUAADdv3oSWlhZEIpFigfNt27ahVKlSivdboUIFqKiowMzMDKNHj8aTJ3l3P3IiopxioCSiXFNXV8fMmTMzfK1Zs2Z4+PAhHB0dUalSJSgrK0NLSwtNmjTBv//+i4MHD2aru7Vhw4ZYv349LCwsoKKikuXj0o7vTLmeSCSCQZcJ0P/lL6ga14FYTQsQSyDR1IVKhWoo1aw3SjXpDgAQq2mhbO+5UDOpC5GKOsTqpaBV5yeU6TpZcVa5HBjQNOWevWPHjkWHDh1QsWJFqKmpQVlZGZUqVYKDgwOuXbummDykpqaGAwcOoHHjxhmu/9ioUSN4eXlh1KhRMDc3h6qqKrS0tGBhYYFevXrBxcUl0zBPRFRQuLA5ERVrjx49wsKFC3Ho0CGUL18eEyZMgKdmE9zxC8/Te3lDlow4v8doGHkLixcvVrRAEhGVBGyhJKJi6ebNm/j5559Rv3593Lt3Dxs2bMDbt28xfvx4LOlZD0rivJ2EoqqijLm/1IC3tzfq1asHR0dHRbc+EVFxx0BJRMWGXC7HxYsXYWtri+bNm8PX1xe7du3C69evMXz4cMXi3ZX0NDAnj++3PdfOEiMG9MTz58+xdu1anDlzBlWrVsWECRMQGhqap9ciIipsGCiJqMiTyWQ4fvw4mjZtivbt2yMyMhKHDx/GkydPMGDAAMVdclLr08gYE36qmifXn/hTNfRulDJ2UllZGaNGjcKbN28wdepUbNy4EWZmZliyZEmmdxMiIirqGCiJqMhKTk7G3r17UbduXXTr1g2qqqo4e/Ys7t27B3t7++8u7A0AY2wtsNi+NlSVxJBkswtcIhZBVUmMJfa1MdrWPN3rWlpamDVrFnx8fDBw4EDMmDEDFhYW2LZtW66WOiIiKowYKImoyElMTMSWLVtQvXp19OvXDxUrVsS1a9dw7do1dOjQIVuzxvs0MsbF8a3QrErKepA/DJaylLU2m1XRx8XxrRQtk5kxNDTEmjVr8OLFC7Ro0QJDhgxB3bp14ebmxntmE1GxwVneRFRkxMbGYsuWLVi6dCkCAgJgb2+PadOmoWHDhnlyfu+gKLje8Yf762D4h8Yi9T+OIgAGasCbG25wmT4Ydq2b5Oga9+7dw+TJk3H58mW0aNECS5YsQbNmzfKkfiIioTBQElGhFxkZifXr12PFihUICwtD3759MXXqVNSsWTPfrhmTIIVvaAwSpTKoKIlhqq8JVQlgbGyMHj16YM2aNTk+t1wux/nz5zF58mQ8fvwY3bp1w6JFi1C9evU8fAdERAWHgZKICq2QkBA4OztjzZo1iIuLw6BBgzBp0iRUqVJFsJqmTJmCzZs3IzAwUDFrPKdkMhn27NmDGTNm4P379xgyZAhmz57NhcqJqMhhoCSiQicwMBDLly/Hhg0bAAAjRozAX3/9BSMjI4ErS7mndo0aNXDw4MFs3TLyexISErB+/XrMnz8fcXFxGD9+PCZNmoTSpUvnyfmJiPIbAyURFRrv3r3DkiVLsH37dqirq2Ps2LFwcnKCgYGB0KWlYW1tDX19fZw8eTJPzxsREYF//vkHK1euhIaGBmbMmIGRI0fmuiWUiCi/cZY3EQnuxYsX+O2332BhYYEjR45g9uzZ8PPzw7x58wpdmAQAR0dHnDlzBh8/fszT85YuXRoLFiyAt7c37O3t8ddff6F69epwdXWFTCbL02sREeUlBkoiEsyDBw/Qs2dPWFpa4vLly1i+fDl8fX0xderUQt3d27t3b6ioqGD37t35cn4jIyNs2rQJT58+Rb169TBgwAA0aNAA586d41JDRFQoMVASUYG7ceMGOnXqhIYNG+LRo0fYtGkT3rx5AycnJ2hoaAhd3g/p6Oige/fu2L59e74GvBo1auDo0aPw8PCAlpYWOnbsiHbt2uH+/fv5dk0iopxgoCSiAvF1qZxWrVrBxsYG79+/h6urK16+fImhQ4cWuXGCgwYNwosXL3D37t18v1azZs1w/fp1HD9+HB8/foSVlRX69OmDN2/e5Pu1iYiygoGSiPKVTCbD0aNH0bhxY3To0AFxcXE4duwYvLy80K9fvwzvs10UtGnTBhUrVoSLi0uBXE8kEsHOzg5eXl7YsmULrl+/jurVq2Ps2LEIDg4ukBqIiDLDQElE+UIqlcLV1RV16tSBvb09NDU1cf78edy5cwddu3b94X22CzuJRAIHBwfs3bsXcXFxBXZdJSUlDBkyBN7e3pg3bx527doFMzMzzJ07F9HR0QVWBxFRakX7X3QiKnQSEhKwadMmVKtWDQMGDICJiQlu3LiBK1euoH379tm6z3Zh5+DggIiICBw/frzAr62hoYEpU6bgzZs3GDFiBBYsWABzc3P8+++/SEpKKvB6iKhk4zqURJQnYmJisHnzZixbtgyBgYHo0aMHpk2bhvr16wtdWr6ysbGBhoYGzp07J2gdfn5+mDlzpqLFcuHChejZs2exCvBEVHixhZKIciU8PBwLFiyAqakpJkyYgHbt2uH58+c4ePBgsQ+TQMqalBcuXEBAQICgdZiYmGDHjh149OgRLCws8Ouvv6Jp06a4cuWKoHURUcnAQElEOfL582dMnz4dJiYmmDdvHnr16gUfHx+4uLigevXqQpdXYH799Veoq6tj586dQpcCAKhTpw5Onz6Ny5cvQy6Xw9bWFp07d4aXl5fQpRFRMcZASUTZEhAQgHHjxsHExATOzs4YPnw43r17h/Xr18PU1FTo8gqctrY2evToARcXl0K16LitrS3u3LmDAwcOwNvbG/Xq1YOjoyP8/f2FLo2IiiEGSiLKkjdv3mD48OGoUqUKduzYgYkTJ8LPzw9Lly5F+fLlhS5PUIMGDYK3tzdu3rwpdClpiEQi9OrVC8+fP8e6detw9uxZVK1aFRMmTEBoaKjQ5RFRMcJJOUT0Xc+ePcOiRYuwd+9eGBgY4M8//8TIkSNRqlQpoUsrNGQyGczMzNCuXTts3rxZ6HIyFR0djRUrVmDp0qWQSCSYOnUq/vjjD6irqwtdGhEVcWyhJKIM3bt3D927d0etWrVw7do1ODs7w9fXF5MnT2aY/IZYLIaDgwP279+PmJgYocvJlJaWFmbOnAkfHx8MHDgQM2bMgIWFBbZt2wapVCp0eURUhDFQElEa165dQ4cOHdCoUSM8e/YMW7duhY+PD8aMGcOWrO9wcHBAVFQUjh49KnQpP2RoaIg1a9bgxYsXaNGiBYYMGYK6devCzc2tUI0DJaKig4GSiCCXy3HmzBnY2NigVatW+PTpE/bt24cXL15g8ODBUFFREbrEQq9y5cpo3bo1tm/fLnQpWWZubo59+/bB09MT5cqVQ9euXdGyZctCNxaUiAo/BkqiEkwmk+Hw4cOwsrJC586dkZSUBDc3Nzx69Ai9e/eGRCIRusQiZdCgQbh8+TJ8fX2FLiVbrKyscPHiRZw9exZRUVFo3rw5unfvjpcvXwpdGhEVEQyURCVQUlISdu7cCUtLS/Ts2RM6Ojq4ePEibt26hS5duvDuKjnUo0cPaGlpFZo1KbNDJBKhQ4cOePDgAXbt2oWHDx/C0tISw4cPR2BgoNDlEVEhx0BJVILEx8djw4YNqFq1KhwcHGBubo5bt27h0qVLaNu2LYNkLmlqauLXX3+Fi4sLZDKZ0OXkiFgsxoABA/Dq1SssW7YMhw8fhrm5OaZPn46IiAihyyOiQoqBkqgE+LpcTJUqVTBq1Cg0adIEjx49wokTJ9C0aVOhyytWHB0d8e7dO1y/fl3oUnJFVVUV48ePx9u3bzF+/HisXLkSZmZmWLVqFRISEoQuj4gKGa5DSVSMffnyBWvXroWzszMiIiIwcOBATJkyBVWrVhW6tGJLLpfDwsICLVq0gIuLi9Dl5JkPHz5gzpw52Lp1K4yNjTF//nz07dsXYjHbJYiILZRExVJwcDCmTp0KExMTLFiwAH369IGPjw+2bdvGMJnPRCIRHB0dcejQIURHRwtdTp4xMjLCpk2b8PTpU9SrVw8DBgxAgwYNcO7cOS41REQMlETFyfv37/HHH3/AxMQEa9euxciRI+Hr64u1a9fCxMRE6PJKjN9++w2xsbE4ePCg0KXkuRo1auDo0aPw8PCAlpYWOnbsiHbt2uH+/ftCl0ZEAmKXN1Ex4OPjg8WLF2Pnzp3Q1taGk5MTxowZAz09PaFLK7Hat2+PxMREXL16VehS8o1cLseJEycwZcoUvHjxAr1798aCBQtgZmYmdGlEVMDYQklUhD158gR9+/ZFtWrVcOrUKSxcuBC+vr6YOXMmw6TABg0ahGvXruHNmzdCl5JvRCIR7Ozs4OXlhS1btuD69euoXr06xo4di+DgYKHLI6ICxEBJVATdvXsXXbt2RZ06dXDr1i2sWbMG7969w4QJE6CtrS10eQSgW7duKFWqFHbs2CF0KflOSUkJQ4YMgbe3N+bNm4ddu3bBzMwMc+fOLVbjSIkocwyUREWEXC6Hu7s72rdvjyZNmuDVq1dwcXGBt7c3Ro0aBTU1NaFLpFQ0NDTQp08f7Nixo8iuSZldGhoamDJlCt68eYMRI0ZgwYIFMDc3x7///oukpCShyyOifMRASVTIyeVynDp1Cs2bN0ebNm0QEhKCAwcO4NmzZ3BwcICysrLQJVImHB0d4e/vj8uXLwtdSoHS19fHsmXL8Pr1a3To0AGjR49GzZo1cfDgQc4IJyqmGCiJCqnk5GQcOHAA9evXxy+//AKRSIRTp07hwYMH6NWrF++zXQQ0bdoU1apVK1brUWaHiYkJduzYgUePHsHCwgK//vormjZtiitXrghdGhHlMQZKokImKSkJLi4usLS0RO/evVGmTBm4u7vjxo0b6Ny5M2+PWIR8XZPy8OHDJfq2hXXq1MHp06dx+fJlyOVy2NraonPnzvDy8hK6NCLKIwyURIVEXFwc1q9fDwsLCwwaNAjVq1fHnTt3cOHCBbRu3ZpBsogaOHAgEhMTceDAAaFLEZytrS3u3LmDAwcOwNvbG/Xq1VMMCyCioo3rUBIJLCoqChs2bMDy5cvx+fNn9O7dG1OnTkXt2rWFLo3ySKdOnRAREYGbN28KXUqhkZSUhC1btmDOnDkIDw/HmDFjMHXqVOjr6wtdGhHlAAMlkUDCwsKwZs0aODs7Izo6Gg4ODpg8eTLMzc2FLo3y2IEDB9C7d2+8fPkS1apVE7qcQiU6OhorVqzA0qVLIZFIMHXqVPzxxx9QV1cXujQiygYGSqIC9unTJ6xcuRLr169HcnIyhg0bhgkTJqBSpUpCl0b5JD4+HhUqVMCIESOwaNEiocsplIKCgjB//nxs2LABhoaGmDt3Ln777TcoKSkJXRoRZQEDJVEB8fPzw9KlS7F161YoKytj9OjRGD9+PMqWLSt0aVQARo8ejWPHjsHf358z9L/Dx8cHM2bMwP79+1GzZk0sWrQIXbp04RhiokKOk3KI8tnr168xaNAgmJubY9++fZg+fTr8/f2xaNEihskSZNCgQQgMDMSFCxeELqVQ+/r/iaenJ8qVK4euXbuiZcuWHH9KVMgxUBLlk8ePH6N3796oXr06zp8/j3/++Qe+vr6YMWMGdHR0hC6PCljDhg1haWlZYtekzC4rKytcvHgRZ8+eRVRUFJo3b47u3bvj5cuXQpdGRBlgoCTKY7dv30aXLl1Qr149eHp64t9//8Xbt28xfvx4aGlpCV0eCUQkEmHQoEE4duwYvnz5InQ5RYJIJEKHDh3w4MED7Nq1Cw8fPoSlpSWGDx+OwMBAocsjolQYKInygFwux6VLl9CmTRtYW1vjzZs32LlzJ16/fo0RI0ZAVVVV6BKpEOjfvz+kUin27dsndClFilgsxoABA/Dq1SssW7YMhw8fhrm5OaZPn16iF4wnKkw4KYcoF+RyOU6ePIkFCxbgzp07aNCgAaZPn45u3bpBLObfa5SenZ0dPn36hLt37wpdSpEVERGBf/75BytXroSGhgZmzJiBkSNH8g83IgHxNx5RDiQnJ2Pfvn2oV68e7OzsoKysjDNnzuDevXuwt7dnmKRMOTo6wtPTE8+ePRO6lCKrdOnSWLBgAby9vWFvb4+//voL1atXh6urK2QymdDlEZVI/K1HlA2JiYnYtm0batSogb59+6J8+fK4du0arl+/jo4dO3JpE/qhX375Bfr6+pyckweMjIywadMmPH36FPXq1cOAAQPQoEEDnDt3Dux8IypYDJREWRAXF4c1a9bA3NwcQ4YMQa1ateDp6YmzZ8/CxsZG6PKoCFFRUUH//v2xa9cuJCUlCV1OsVCjRg0cPXoUHh4e0NLSQseOHdGuXTvcv39f6NKISgwGSqLviIyMxJIlS2Bqaorx48ejVatWePr0KY4cOQIrKyuhy6MiatCgQQgKCsK5c+eELqVYadasGa5fv47jx4/j48ePsLKyQp8+ffDmzRuhSyMq9jgphygDoaGhWL16NVavXo3Y2Fg4Ojpi8uTJqFKlitClUTFRr149mJmZ4fDhw0KXUixJpVLs2LEDM2fORHBwMH7//Xf8/fffvJkAUT5hoCRK5ePHj1i+fDk2bNgAmUyGESNGYMKECTAyMhK6NCpmnJ2dMXHiRAQGBsLAwEDocoqt2NhYrF69GosXL0ZycjImTpyIP//8k2vCEuUxBkoiAL6+vvjnn3+wbds2qKqqYuzYsXByckKZMmWELo2Kqc+fP6NChQpYvnw5/vjjD6HLKfZCQ0OxaNEirFmzBrq6upg1axaGDh0KZWVloUsjKhYYKKlEe/nyJRYtWgRXV1fo6upi/PjxGD16NEqXLi10aVQC2Nvbw9fXFw8ePBC6lBLDz88PM2fOxK5du2BmZoaFCxeiZ8+eXKGBKJc4KYdKpIcPH6JXr16oWbMmLl26hOXLl8PPzw/Tpk1jmKQC4+joiIcPH+Lx48dCl1JimJiYYMeOHXj06BEsLCzw66+/omnTprhy5YrQpREVaQyUVKJ4eHigc+fOaNCgAR48eICNGzfizZs3cHJygoaGhtDlUQnTqVMnlC1blmtSCqBOnTo4ffo0Ll++DLlcDltbW3Tu3BleXl5Cl0ZUJDFQUrEnl8tx4cIFtG7dGi1atIC/vz9cXV3x6tUrDBs2jLdrI8EoKytj4MCB2L17NxITE4Uup0SytbXFnTt3cODAAXh7e6NevXpwcHCAv7+/0KURFSkMlFRsyWQyHD9+HE2aNMFPP/2EmJgYHD16FF5eXujXrx+UlJSELpEIjo6OCAkJwenTp4UupcQSiUTo1asXnj9/jnXr1uHcuXOoWrUqJkyYgNDQUKHLIyoSOCmHih2pVIoDBw5g0aJFePr0KVq1aoXp06ejXbt2HHhPhVKjRo1QoUIFHD9+XOhSCEB0dDRWrFiBpUuXQiKRYOrUqfjjjz+grq4udGlEhRZbKKnYSExMxJYtW1C9enX0798flSpVwo0bN3DlyhW0b9+eYZIKLUdHR5w6dQpBQUFCl0IAtLS0MHPmTPj4+GDgwIGYMWMGLCwssG3bNkilUqHLIyqUGCipyIuNjYWzszPMzMwwfPhw1K9fH/fv38fp06fRvHlzocsj+qG+fftCIpHA1dVV6FIoFUNDQ6xZswYvXrxAixYtMGTIENStWxdubm5g5x5RWgyUVGRFRERg0aJFMDU1xV9//YU2bdrg2bNnOHjwIBo0aCB0eURZpqenh65du2L79u0MKoWQubk59u3bB09PT5QrVw5du3ZFy5YtcfPmTaFLIyo0GCipyAkJCcGMGTNgYmKCOXPmoGfPnvD29saOHTtQo0YNocsjypFBgwbh6dOnXOS8ELOyssLFixdx9uxZREVFoXnz5ujevTtevnwpdGlEgmOgpCIjMDAQf/75J0xMTLBq1SoMHToU7969w/r161G5cmWhyyPKlfbt26N8+fLYvn270KXQd4hEInTo0AEPHjzArl278PDhQ1haWmL48OEIDAwUujwiwXCWNxV6b9++xT///IPt27dDQ0NDcZ9tfX19oUsjylNTpkzBpk2b8PHjR66PWkQkJCRg/fr1mD9/PuLi4jB+/HhMmjSJd9yiEoeBkgqt58+fY9GiRdi7dy/09fXx559/YuTIkShVqpTQpRHli5cvX6JGjRo4cOAAevXqJXQ5lA0RERH4559/sHLlSmhoaGDGjBkYOXIk/zCgEoOBkgqd+/fvY+HChThy5AgqVaqEiRMnYsiQIbw1IpUI1tbW0NPTw6lTp4QuhXLgw4cPmDNnDrZu3YpKlSph/vz56NevH8RijjCj4o0/4VRoXL9+HR07doSVlRWePHmCrVu3wsfHB2PHjmWYpBLD0dERZ8+e5Xi8IsrIyAibNm3C06dPUb9+fQwcOBANGjTAuXPnOIOfijUGShKUXC7HuXPn0LJlS7Rs2RKBgYHYu3cvXrx4gcGDB0NFRUXoEokKVO/evaGiooLdu3cLXQrlQo0aNXD06FF4eHhAS0sLHTt2RLt27XD//n2hSyPKFwyUJAiZTIYjR46gUaNG6NixIxISEnD8+HE8evQIffr0gUQiEbpEIkHo6Oige/fuXJOymGjWrBmuX7+O48eP4+PHj7CyskKfPn3w5s0boUsjylMMlFSgpFIpdu/ejdq1a6NHjx4oVaoULl68iNu3b8POzo7jjIiQsibly5cvcffuXaFLoTwgEolgZ2cHLy8vbN26FTdu3ED16tUxduxYBAcHC10eUZ7gb28qEAkJCdi0aROqVauGgQMHokqVKrh58yYuX76Mtm3b8j7bRKm0adMGFStW5JqUxYySkhIGDx6M169fY/78+di1axfMzMwwd+5cREdHC10eUa4wUJZgMQlSPAuMwEP/L3gWGIGYBGneXyMmBitXrkSVKlXw+++/w8rKCo8ePcKJEydgbW2d59cjKg4kEgkcHBywb98+xMXFCV0O5TENDQ1MnjwZb968wYgRI7BgwQKYm5vj33//RVJSktDlEeUIlw0qYbyDouB6xx/ur4LhHxaL1N98EQBjPQ3YViuL/k2MYWGonePrhIeHY+3atVi1ahUiIiIwYMAATJkyBdWqVcv1eyAqCby9vVG1alXs2bMHffv2Fbocykd+fn6YOXOmosVy4cKF6NmzZ5713MQkSOEbGoNEqQwqSmKY6mtCU1UpT85N9BUDZQnxPiwW044+wXWfEEjEIiTLMv+2f33dxtwAC7vXRiW9rC/Z8/nzZ6xcuRLr1q1DQkIChg4diokTJ8LExCQv3gZRiWJjYwN1dXWcP39e6FKoAHh5eWHKlCk4c+YMGjdujCVLlqB169Y5OldBNR4QfcVAWQLs8/THLLdnkMrk3w2S35KIRVASizDHzhJ9Ghl/d9+AgAAsW7YMmzZtgkQiwahRozB+/HiUK1cut+UTlVjbtm3D0KFD4efnh0qVKgldDhUQd3d3TJ48GZ6enujUqRMWL16MOnXqZOnYgmo8IPoWx1AWc2vdvTHlyBMkSGXZCpMAkCyTI0Eqw5QjT7DW3TvDfXx8fDBs2DBUqVIFO3fuxOTJk+Hn54clS5YwTBLlUq9evaCuro6dO3cKXQoVIFtbW9y5cwcHDhyAt7c36tWrBwcHB/j7+3/3uH2e/mi38ipuvg0FgB/+m//19ZtvQ9Fu5VXs8/z++Ym+hy2Uxdg+T39MOfIkz863xL42ev+/pfLp06dYtGgR9u3bhzJlyuCvv/7C77//Dm1tdp0Q5SUHBwfcvHkTr1+/5moIJVBSUhK2bNmCOXPmIDw8HGPGjMHUqVOhr6+fZr+17t5Ydv51rq834aeqGGNrkevzUMnDFspCZPbs2RCJRIpH27Zt0+1z9+7dNPuIRCLEx8en2+99WCxmuT3L9FqfXKfAb/Ev8Fv8C6ThQVmqb6bbM5y8chvdunVD7dq1cePGDaxZswbv3r3DxIkTGSaJ8oGjoyN8fHzg4eEhdCkkAGVlZYwcORI+Pj6YNm0aNm7cCDMzMyxZskSxAsA+T/88CZMAsOz8a+xnSyXlAANlIXb58mU8ffo0zbbVq1dn6dhpR59Ams0u7h9JSJJiyIYLePHiBbZv3w4fHx+MGjUK6urqeXodIvpPq1atYGpqChcXF6FLIQFpaWlh5syZ8PHxwcCBAzFjxgxYWFhg+UaX7zYe5MRMt2d4Hxabp+ek4o/rBhRya9euxYYNGwAAQUFBOHjw4A+P8Q6KwnWfkLwvRiSGeuUGcFv5B6qVL5335yeidMRiMRwcHLB8+XI4OztDU1NT6JJIQIaGhtDX14dUKsWHDx8w4fdB6fYRqWrCePz+HF9DKpNj2tEn2DWkSW5KpRKGLZSFVOXKlQEAu3fvRnh4OABg48aNSExMVLz2rQULFsDGxgYNapjBf5k9/JZ2x4d/hyDktPN3u7WT46MQctoZ7537wX9ZDwTtnY7E4Hdp9ol6dBZBe6chYJ0DalcuDxUVFVSsWBF9+vSBl5dXmn0dHR0V3fFubm74448/UL58eWhra8PGxgb379/PxSdDVPI4ODggOjoaR44cEboUKgGSZXJc9wmBT3CU0KVQEcJAWUh1794d5cuXR0xMDLZt24akpCRs3LgRADBq1KgMjzl48CBu3LiB6C+fIZcmAslJkEYEIcbrAj7tnojkuIz/cfh8eB5ivC5AFhcJuTQB8X6P8cl1MpLCPij2iXtzD/F+XkiOCkVSQhySkpLw4cMH7N+/H82bN4e3d8azwB0dHbFmzRp8+vQJ0dHRuHHjBjp27IjIyMhcfkJEJUflypXRunVr3oqR0tGq3RYmU06meeSmdfIriViE3bdTxlLybk2UFQyUhZSysjJGjBgBAFi3bh0OHjyIwMBAaGhoYMiQIRkeM3v2bNy+9wCVxu2D8aTjqDh2NzRrtwMAJEeHIebZlQyPk2jpo8LvW1Bx7G6oWzQFAMgTYhF+3VWxj3aDzijnuAoVnfbAZNJx+AcGYcaMGQCA6OhoRbf8tzQ0NHD37l2EhIQoFugNCQnB6dOns/2ZEJVkgwYNgru7O3x9fYUuhQqRzNZpiffzUky8DDm5Ms1rX7cHrB+s2BbtdVGxPfy6K8JuHsSSwT9BSUkJ+/fnPqBS8ccxlIXY77//joULF+Lt27f4448/AAD9+/eHrq5uhvvr6+tjytRpCLx1F8mxkYAs7b25k0Iznrmn03IAlHVS1ozUtR2EOO/bAID4dw8V+0g0dRFx6yASPrxAcswXGP+T9tzPnz/P8NyTJk1Co0aNAAA9evTAlStXAIC/FImyqUePHhg9ejR27NiBWbNmCV0OFWNRD05BFsdeJMoeBspCzNDQEL169YKrqytCQ1MWqh0zZkyG+965cwe2trZITk7O9HzypMQMtyuVKpvhc1l8FOSyZCRHheLTromQJ6VfnuirzLpEatSooXieejJBRksdEVHmNDU18euvv8LFxQV///03xGJ2MBEQ8/QSYp5eSrNNs1ZbaNVOv+xcVsniIqFjOxhadX/Cbof6MC/DiWD0Y/wXqZD72jIJpCwfktntt/bt26cIk5qWrVO6pqechG67ET+8hjQyOMPnYjVtiMQSxL6+pQiTaiZ1YDR6B55+CIebm9sPz62srKx4zkWZiXLH0dERvr6+uHbtmtClUDGmZlIHpZvYQ6KmhVJ6ZWBkZCR0SVQEsIWykGvcuDFGjRqFDx8+YPTo0Znup6T037dSJFGBSEkFiUFvEXXvx6Ev/LorlHWNIFJRwxf3/wb9q1Wun3I+seS/nSXKkCirQRb+CfPnz8/BOyKinGrRogXMzMywfft2xZhkKtk0a7WFwS/j022P90u9+sZ/Ay3lssx7sb5SKWf+33MltjtR1jBQFgHr1q374T729vZYsWIFZDIZor3OI9rrPABASe/Hf1kmR4Xgw4a0E31EqhrQsekPAFAzs4LoiirkSQmIf3sf/qt6o84qoGrVqtl/M0SUYyKRCI6Ojli0aBHWrl3Lu1OVMO/fv4eHh0eWJjWKlFQUz+VJCYrn0i+BWThWNeW/AEz12d1NWcM/PYoJa2trHDx4EHXq1IGSiiqUSpeFTqvfULppzx8eW8Z+BjRrt0vp4lZShZpJHZTrtxjK/w+jyjrlULbXbKhUqAaRsiq0dMtgwoQJWb5rDxHlnd9++w1xcXFZuskBFV3Jycl49OgR1q1bh759+8LY2BjGxsbo27cv3rx588PjlUobKp4nBL5Eclwk5NIkhF/dleUajPU1oKnKdifKGpFcntmiA1RUeQdFof2q/BtjdXF8S5iXZcsIkVDat2+PhIQEjqUsRqKjo3H79m14eHjAw8MDt2/fRlRUFJSVldGwYUO0aNECzZs3R7NmzbB+/XrMmTMHQMo6lPo/p+/yBoCgfX8j3vf/q3VIlACIIBKLFS2WklJlUXHUtpTre11E6OlVAIDSzftCv9UADGxigtl2lvn6vqn44J8exZCFoTZszA1w820okvPwft4SsQjNqugzTBIJbNCgQejfvz98fHxgbm7+4wOo0AkICFCERw8PDzx69AgymQy6urpo3rw5pk2bhubNm8PKygrq6uqZnud7TUIGXf5C2MWNiPd9DHlyEtQq1YJOawd83JrxaiGpJcvkGNDUOCdvjUootlAWU+/DYtFu5VUkSGV5dk5VJTEujm+FSnoaeXZOIsq+uLg4lCtXDn/88QfmzZsndDn0A8nJyXj69Ck8PDxw48YNeHh4wN8/ZV1gc3NzNG/eXPGoXr16tpaEGrj1Tr41HvBe3pQdDJTF2D5Pf0w58iTPzrfEvjZ6N+JfrESFwYgRI3DmzBm8e/cOEonkxwdQgYmOjsadO3fSdF9HRkZCWVkZ/2vv/mOivvM8jr/mh/waEH+VH7aw4K/WArWWjg4/NsbK0qhXtzXZ7ea2Jm32YpNa/9iee9lQc6Jpar3bxsQ0tNv0mpiLe8WmK8rC0toFG66lCtVkWaE/4AQsClYZQH4zzNwfnKNzKK5+B2cGno+/hpnvvOcDJOTF5/39fD6PPfaYcnJylJubq+zsbMXHx9++4CSYPECwIFBOc29VfaffffKt4Tq/yX9Q29bSWgOCxZdffqmsrCwdP35ceXl5gR7OjNbe3j6hfT02NqY5c+b4zD7a7fZJ29d3i8kDBAMC5QzwQW2bdh07K5fbc0dtEYvZJKvZpD2b0vjjAgQZj8ej5cuXKzMzU4cOHQr0cGaMsbExnT171qd93draKklavHixT4Bcvnz5PTvRiMkDBBqBcoY43zWggiP1qm66LIvZNGmwvPb6j5cs0OvPZND2AILUvn37VFhYqI6ODsXGxgZ6ONNSf3+/T/u6pqZGvb29slqtE9rXCQkJAR0rkwcIJALlDPNd51UdOtmmqm8vqe3KgG785Zs0vu/Y2mVxes6RzGpuIMhduHBBSUlJevvtt7V169ZAD2dauHDhgk/7+syZM972dVZWlnf7Hrvdrqio4Ptnm8kDBAqBcgbrH3ap5Uq/RlxuhVnNSplvYxNbIMRs2LBBTqdTNTU1gR5KyHG73d729bUWdktLiyRp0aJFPu3rhx9++J61r/2ByQPcawRKAAhhhw8f1rPPPqvGxkY99NBDgR5OUBsYGNCpU6e89z7W1NSop6dHVqtVK1eu9AmQiYmJgR6u3zB5gHuBQAkAIWxoaEgLFy7U1q1b9cYbbwR6OEHl4sWLE9rXLpdLsbGxys7O9obHVatWBWX7GgglBEoACHHbtm1TSUmJ2traZuyelG63Ww0NDT7t63PnzkmSUlNTfWYf09LSQqp9DYQCAiUAhLi6ujrZ7XaVl5dr/fr1gR7OPXGtfX3j6uvu7m5ZLJYJ7euFCxcGerjAtEegBIAQ5/F4lJGRobS0NBUXF0uafvfNdXR0+LSvT58+LZfLpdmzZ/usvl61apVsNlughwvMOARKAJgG3nzzTf3r74q0/cBh1bT0qq3rJit750Vp7YNx+uXqZC2ND96VvW63W42NjT4Bsrm5WZKUkpIyoX09U9v8QDAhUAJAiDvfNaB/Lq7TqbarMskjj0y3vDYY9x4cHBxUbW2tz+prp9Mpi8WiRx991CdA3n///YEeLoCbIFACQAgzejrK7k1p+sU9Ph2ls7NzQvt6dHRUMTExE9rX0dHR93RsAO4OgRIAQpS/zm/ekb9ML69d6ocRTeR2u/X111/7BMimpiZJUnJysjc85uTkKD09nfY1EKIIlAAQgj6obdNv/1jvt3r7Nmf45RznwcFB1dXVebfu+eKLL+R0OmU2mye0rx944AE/jBxAMCBQAkCIOd81oLz9n2nY5fZbzXCrWZ/+es0d31N56dIln9nHr776ytu+djgcysnJUW5urlavXk37GpjG2NkVAPyksLBQJpNJJpNJzz//vM9r77//viwWi0wmkyIiIlRWVnbXn1NwpF6uO7hf8u/hcntUcGTyGU+Px6PGxka99957euGFF7Rs2TLFx8dr8+bN+vDDD5Wamqr9+/frzJkzcjqd+uSTT7Rr1y6tW7eOMAlMc6G7KRkAhIiioiK9/PLL8ng8ioyMVElJifLz8++q1nedV1XddNnPI5TG3B5VN11W06WrWhI3vqXQ0NDQhPZ1V1eXzGazVqxYoSeffFJ79uxRTk6OkpKS/D4mAKGDQAkAU2j//v165ZVXJEk2m02lpaVau3btXdc7dLLNu/WPv1lM0u4/VCmhvdrbvh4ZGVF0dLQcDoe2b9/ubV/HxATvPpYA7j0CJQBMkb1796qgoECSFBMTo/LycuXm5kqSWlpalJqaKklas2aNTpw44X1fSkqKWltbJY23mSXpxIkT3iBqS1+niNRH1fvlR3I5L8gSM18xKzcqxv5TmUzje1CO/NCqnv/+g0Z+aJG7v1vukUGZwiIVdt+PFJ2RJ9sjP/FeO9T6V3X+1/g4Ly7LUsQPX8vlcnlP4CkqKpLdbldhYaG2bNmioaEhORwOvfXWW1q8eLF33O+++66Ki4v1zTffyOl0anR0VHFxccrNzVVBQYEeeeSRqfpRAwgwAiUATIHS0lIdPHhQkhQbG6uKigo5HA6/1B5sOqn+v/3F+7XLeVHOyvdkiZ4r28Nr/u+5Cxr45nOf93mG+zX8fYOGv2/Q2EC3YrN+PqH28PcNGhzo8X5dX1+vjRs3Kjs7WxUVFd7nKyoq9NRTT6m+vt671U95ebkqKyt96rW3t6u4uFhlZWU6ffq0li6dmu2JAAQWi3IAYAp0dXV5H5eVlfktTEqSe6hPc5/4JyX9+rDm/uRF7/N99ddD5qz7UhT3s126f9tBJe84ouQdf1TCln+XaVa4JKn3VIlutsmHe6BHew/8Xr29vXr66afHr+3t1ccff6yPPvpIXV1devzxxyVJjY2Nqq2t9b73pZdeUl1dnS5fvqzR0VFduXJFO3fuHB9bX5/eeecdv/0MAAQXZigBYIrt3r1bR48eVWRkpF/qhcUv1uxVT0uSojPy5Dz+e0mSq+eS9xqLba766/8i54mDcnV3yDM6LN1wurd7sFfugW5ZbHN9ay98UE/+9GeKiYlRfn6+SkpKJElZWVnavHmzJCkvL091dXWSxlv318JyQkKC9u7dq88//1ydnZ0aGRnxqd3Q0OCX7x9A8CFQAsAUyMzMVHNzs7q7u3X8+HFt3LhRpaWlstlsE679/zOFLpdr0trW+dc3BDfNirhex3U9wF0+uk+DzbWajGd0ZMJzs+YmKsw63ry6MQBfu99TksLDw72Ph4aGJEmtra3Kzs5Wf3//LT9vcHBw0vEACF20vAFgCqSnp+vTTz/VvHnzJElVVVVav369+vr6JEkREdeD4MDAgPdxX1+fOjo6Jq1tMl+fC7i2sOZG7qG+62HSMkvxz/2bkv/lqH702z/JHHGb1dkmi1LmTwy9Vuvk8w8lJSXeMPnEE0+ovb1dHo9Hx44dm/zzAEwLBEoAmCKZmZmqrKzUggULJEnV1dXKz89Xb2+v4uPjvaHy7NmzOnfunMbGxvTqq69qbGzM2AebLZLGg6bJZJY5LFKe0WF1Vx+Se+jqpG+NDrfKFn7nzasbA2dYWJhsNpuam5v12muv3XEtAKGHQAkAU2jFihWqqqpSXFycJKmmpkZ5eXnq6enRli1bJI23gpcuXarZs2erqKhIYWFhk9a8yaSkD3NYpCIWPSZJ8riGdfH97Tq//+e6eubPModPnH28UUJsxKSv38qGDRsUFTV+bGNFRYXmzJmjJUuWqLu7+67qAQgtBEoAmGLp6en67LPPlJiYKEmqra3VunXrtHPnTr344otKTExUWFiY7Ha7Kisrvdfdyk0WZ0+w4B9ekS19ncxRsTLNCldEykol/ONemW4TKBfdN/nrt5Kamqry8nI5HA5FRUUpMTFRO3bs0IEDB+6qHoDQYvLcbN8IAEDQ2vIfJ/XF/1zx62k5FrNJ2Yvm6z9/tdpvNQHMHMxQAkCIef2ZDFnNt+l73yGr2aTXn8nwa00AMweBEgBCTNK8KO3elObXmns2pSlpXpRfawKYOQiUABCCfmFP1o78ZX6p9Zv8B/WsPdkvtQDMTNxDCQAh7IPaNu06dlYut+eO7qm0mE2ymk3asymNMAnAMAIlAIS4810DKjhSr+qmy7KYTZMGy2uv/3jJAr3+TAZtbgB+QaAEgGniu86rOnSyTVXfXlLblQHd+MfdJCl5fpTWLovTc45kLYm7zYk5AHAHCJQAMA31D7vUcqVfIy63wqxmpcy33dUJOADw9yBQAgAAwBBWeQMAAMAQAiUAAAAMIVACAADAEAIlAAAADCFQAgAAwBACJQAAAAwhUAIAAMAQAiUAAAAMIVACAADAEAIlAAAADCFQAgAAwBACJQAAAAwhUAIAAMAQAiUAAAAMIVACAADAEAIlAAAADCFQAgAAwBACJQAAAAwhUAIAAMAQAiUAAAAMIVACAADAEAIlAAAADCFQAgAAwBACJQAAAAwhUAIAAMAQAiUAAAAMIVACAADAEAIlAAAADCFQAgAAwBACJQAAAAwhUAIAAMAQAiUAAAAMIVACAADAEAIlAAAADCFQAgAAwBACJQAAAAwhUAIAAMCQ/wWAeCLZxL1vawAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot the Dimmendaal Nilo-Saharan language family  network\n",
    "G2.nodes[1]['subfamily'] = 'Nilo_Saharan'\n",
    "G2.nodes[2]['subfamily'] = 'Northeastern'\n",
    "G2.nodes[3]['subfamily'] = 'Central_Sudanic'\n",
    "G2.nodes[4]['subfamily'] = 'Maban'\n",
    "G2.nodes[5]['subfamily'] = 'Kunama'\n",
    "G2.nodes[6]['subfamily'] = 'Fur'\n",
    "G2.nodes[7]['subfamily'] = 'Saharan'\n",
    "G2.nodes[8]['subfamily'] = 'Eastern_Sudanic'\n",
    "G2.nodes[9]['subfamily'] = 'Kuliak'\n",
    "labels2 = nx.get_node_attributes(G2, 'subfamily')\n",
    "nx.draw(G2, labels=labels2, font_weight='bold')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e13084b9",
   "metadata": {},
   "source": [
    "Script 11-2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "dbe872ee",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.13131313131313133\n",
      "0.12698412698412698\n"
     ]
    }
   ],
   "source": [
    "#compare betweenness centrality of language families\n",
    "gb=nx.betweenness_centrality(G)\n",
    "print(np.mean(np.array(list(gb.values()))))\n",
    "gb2=nx.betweenness_centrality(G2)\n",
    "print(np.mean(np.array(list(gb2.values()))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "817abc14",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.18181818181818185\n",
      "0.2777777777777778\n"
     ]
    }
   ],
   "source": [
    "#compare degree centrality of language families\n",
    "gd=nx.degree_centrality(G)\n",
    "print(np.mean(np.array(list(gd.values()))))\n",
    "gd2=nx.degree_centrality(G2)\n",
    "print(np.mean(np.array(list(gd2.values()))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "cfedee60",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.478331706690679\n",
      "3.275856608334306\n"
     ]
    }
   ],
   "source": [
    "#compare subgraph centrality of language families\n",
    "gs=nx.subgraph_centrality(G)\n",
    "print(np.mean(np.array(list(gs.values()))))\n",
    "gs2=nx.subgraph_centrality(G2)\n",
    "print(np.mean(np.array(list(gs2.values()))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ea568b5c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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